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Journal articles on the topic 'Almost pseudo Ricci symmetric manifold'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Velimirović, Ljubica, Pradip Majhi, and Uday Chand De. "Almost pseudo-Q-symmetric semi-Riemannian manifolds." International Journal of Geometric Methods in Modern Physics 15, no. 07 (2018): 1850117. http://dx.doi.org/10.1142/s0219887818501177.

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The object of the present paper is to study almost pseudo-[Formula: see text]-symmetric manifolds [Formula: see text]. Some geometric properties have been studied which recover some known results of pseudo [Formula: see text]-symmetric manifolds. We obtain a necessary and sufficient condition for the [Formula: see text]-curvature tensor to be recurrent in [Formula: see text]. Also, we provide several interesting results. Among others, we prove that a Ricci symmetric [Formula: see text] is an Einstein manifold under certain condition. Moreover we deal with [Formula: see text]-flat perfect fluid

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2

Acet, T. "$\delta$-Almost Ricci soliton on 3-dimensional trans-Sasakian manifold." Carpathian Mathematical Publications 16, no. 2 (2024): 558–64. https://doi.org/10.15330/cmp.16.2.558-564.

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In this paper, we consider $\delta$-almost Ricci soliton on 3-dimensional trans-Sasakian manifold admitting $\eta$-parallel Ricci tensor. We give some conditions for $P\cdot \phi =0$, $P\cdot S=0$, $Q\cdot P=0$. Also, we show that there is almost pseudo symmetric $\delta$-almost Ricci soliton on 3-dimensional trans-Sasakian manifold admitting cyclic Ricci tensor. Finally, we give an example for verifying the obtained results.

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3

Yadav, Sunil Kumar, Abdul Haseeb, and Nargis Jamal. "Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric." International Journal of Analysis and Applications 21 (September 25, 2023): 103. http://dx.doi.org/10.28924/2291-8639-21-2023-103.

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The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds. Also, we explore the harmonic aspects of conformal η-Ricci-Yamabe soliton on Kähler spcetime manifolds with a harmonic potential function f and deduce the necessary and sufficient conditions for the 1-form η, which is the g-dual of the vector field ξ on such spacetime to be a solution of Schrödinger-Ricci equation.

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4

Ali, Mohabbat, and Mohd Vasiulla. "Almost Pseudo Ricci Symmetric Manifold Admitting Schouten Tensor." Journal of Dynamical Systems and Geometric Theories 19, no. 2 (2021): 217–25. http://dx.doi.org/10.1080/1726037x.2021.2020422.

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5

Pahan, Sampa. "On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime". Acta et Commentationes Universitatis Tartuensis de Mathematica 28, № 1 (2024): 75–97. http://dx.doi.org/10.12697/acutm.2024.28.06.

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The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically. We have also explored the conditions under which an h-almost conformal Ricci-Bourguignon soliton is steady, shrinking or expanding in different perfect fluids such as stiff matter, dust fluid, dark fluid and radiation fluid. We have observed in a perfect fluid spacetime with h-almost conformal η-Ricci-Bourguignon soliton to be a manifold of constant Riemannian curvature under some

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6

De, U. C., and Dibakar Dey. "Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions." Acta et Commentationes Universitatis Tartuensis de Mathematica 23, no. 1 (2019): 13–24. http://dx.doi.org/10.12697/acutm.2019.23.02.

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The object of the present paper is to characterize Ricci pseudosymmetric and Ricci semisymmetric almost Kenmotsu manifolds with (k; μ)-, (k; μ)′-, and generalized (k; μ)-nullity distributions. We also characterize (k; μ)-almost Kenmotsu manifolds satisfying the condition R ⋅ S = LꜱQ(g; S2).

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7

DE, UDAY CHAND, and PRAJJWAL PAL. "On some classes of almost pseudo Ricci symmetric manifolds." Publicationes Mathematicae Debrecen 83, no. 1-2 (2013): 207–25. http://dx.doi.org/10.5486/pmd.2013.5675.

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8

Baḡdatlı Yılmaz, Hülya, та S. Aynur Uysal. "Compatibility of φ(Ric)-vector fields on almost pseudo-Ricci symmetric manifolds". International Journal of Geometric Methods in Modern Physics 18, № 08 (2021): 2150128. http://dx.doi.org/10.1142/s0219887821501280.

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The object of the paper is to study the compatibility of [Formula: see text]-vector fields on almost pseudo-Ricci symmetric manifolds, briefly [Formula: see text]. First, we show the existence of an [Formula: see text] whose basic vector field [Formula: see text] is a [Formula: see text]-vector field by constructing a non-trivial example. Then, we investigate the properties of the Riemann and Weyl compatibility of [Formula: see text] under certain conditions. We consider an [Formula: see text] space-time whose basic vector fields [Formula: see text] and [Formula: see text] is [Formula: see tex

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9

Duggal, K. L. "A New Class of Contact Pseudo Framed Manifolds with Applications." International Journal of Mathematics and Mathematical Sciences 2021 (August 26, 2021): 1–9. http://dx.doi.org/10.1155/2021/6141587.

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In this paper, we introduce a new class of contact pseudo framed (CPF)-manifolds M , g , f , λ , ξ by a real tensor field f of type 1,1 , a real function λ such that f 3 = λ 2 f where ξ is its characteristic vector field. We prove in our main Theorem 2 that M admits a closed 2-form Ω if λ is constant. In 1976, Blair proved that the vector field ξ of a normal contact manifold is Killing. Contrary to this, we have shown in Theorem 2 that, in general, ξ of a normal CPF-manifold is non-Killing. We also have established a link of CPF-hypersurfaces with curvature, affine, conformal collineations sym

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10

Blaga, Adara M. "Differentiable Manifolds and Geometric Structures." Mathematics 13, no. 7 (2025): 1082. https://doi.org/10.3390/math13071082.

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This editorial presents 26 research articles published in the Special Issue entitled Differentiable Manifolds and Geometric Structures of the MDPI Mathematics journal, which covers a wide range of topics particularly from the geometry of (pseudo-)Riemannian manifolds and their submanifolds, providing some of the latest achievements in different areas of differential geometry, among which is counted: the geometry of differentiable manifolds with curvature restrictions such as Golden space forms, Sasakian space forms; diffeological and affine connection spaces; Weingarten and Delaunay surfaces;

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11

De, Uday Chand, and Avik De. "On almost pseudo-conformally symmetric Ricci-recurrent manifolds with applications to relativity." Czechoslovak Mathematical Journal 62, no. 4 (2012): 1055–72. http://dx.doi.org/10.1007/s10587-012-0063-0.

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12

Shaikh, Absos Ali, and Shyamal Kumar Hui. "ON PSEUDO CYCLIC RICCI SYMMETRIC MANIFOLDS." Asian-European Journal of Mathematics 02, no. 02 (2009): 227–37. http://dx.doi.org/10.1142/s1793557109000194.

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The object of the present paper is to introduce a type of non-flat Riemannian manifold called pseudo cyclic Ricci symmetric manifold and study its geometric properties. Among others it is shown that a pseudo cyclic Ricci symmetric manifold is a special type of quasi-Einstein manifold. In this paper we also study conformally flat pseudo cyclic Ricci symmetric manifolds and prove that such a manifold can be isometrically immersed in a Euclidean manifold as a hypersurface.

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13

Chaturvedi, B. B., and Kunj Bihari Kaushik. "Study of a Projective Ricci Semi-symmetric Nearly Kaehler Manifold." Asian Journal of Mathematics and Computer Research 30, no. 3 (2023): 19–29. http://dx.doi.org/10.56557/ajomcor/2023/v30i38324.

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We inaugurate a new curvature properties of projective curvature tensor in nearly Kaehler manifold. We defined projective Ricci semi-symmetric quasi-Einstein nearly Kaehler manifold, Projective Ricci semisymmetric generalised quasi-Einstein nearly Kaehler manifold and a Projective Ricci semi-symmetric pseudo generalised quasi-Einstein nearly Kaehler manifold and also found some results in the manifold.

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14

MANTICA, CARLO ALBERTO, and YOUNG JIN SUH. "PSEUDO Z SYMMETRIC RIEMANNIAN MANIFOLDS WITH HARMONIC CURVATURE TENSORS." International Journal of Geometric Methods in Modern Physics 09, no. 01 (2012): 1250004. http://dx.doi.org/10.1142/s0219887812500041.

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In this paper we introduce a new notion of Z-tensor and a new kind of Riemannian manifold that generalize the concept of both pseudo Ricci symmetric manifold and pseudo projective Ricci symmetric manifold. Here the Z-tensor is a general notion of the Einstein gravitational tensor in General Relativity. Such a new class of manifolds with Z-tensor is named pseudoZ symmetric manifold and denoted by (PZS)n. Various properties of such an n-dimensional manifold are studied, especially focusing the cases with harmonic curvature tensors giving the conditions of closeness of the associated one-form. We

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15

Tripathi, Mukut Mani, Erol Kılıç, Selcen Yüksel Perktaş, and Sadık Keleş. "Indefinite Almost Paracontact Metric Manifolds." International Journal of Mathematics and Mathematical Sciences 2010 (2010): 1–19. http://dx.doi.org/10.1155/2010/846195.

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We introduce the concept of (ε)-almost paracontact manifolds, and in particular, of (ε)-para-Sasakian manifolds. Several examples are presented. Some typical identities for curvature tensor and Ricci tensor of (ε)-para Sasakian manifolds are obtained. We prove that if a semi-Riemannian manifold is one of flat, proper recurrent or proper Ricci-recurrent, then it cannot admit an (ε)-para Sasakian structure. We show that, for an (ε)-para Sasakian manifold, the conditions of being symmetric, semi-symmetric, or of constant sectional curvature are all identical. It is shown that a symmetric spacelik

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16

De, U. C., Yanling Han, and Krishanu Mandal. "On para-sasakian manifolds satisfying certain curvature conditions." Filomat 31, no. 7 (2017): 1941–47. http://dx.doi.org/10.2298/fil1707941d.

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In this paper, we investigate Ricci pseudo-symmetric and Ricci generalized pseudo-symmetric P-Sasakian manifolds. Next we study P-Sasakian manifolds satisfying the curvature condition S ? R = 0. Finally, we give an example of a 5-dimensional P-Sasakian manifold to verify some results.

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17

Dey, Dibakar, and Pradip Majhi. "∗-Ricci tensor on almost Kenmotsu 3-manifolds." International Journal of Geometric Methods in Modern Physics 17, no. 13 (2020): 2050196. http://dx.doi.org/10.1142/s0219887820501960.

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In this paper, we obtain the expressions of the ∗-Ricci operator of a three-dimensional almost Kenmotsu manifold [Formula: see text] and find that the ∗-Ricci tensor is not symmetric for [Formula: see text]. We obtain a necessary and sufficient condition for the ∗-Ricci tensor to be symmetric and proved that if the ∗-Ricci tensor of a non-Kenmotsu almost Kenmotsu 3-[Formula: see text]-manifold [Formula: see text] is symmetric, then [Formula: see text] is locally isometric to a three-dimensional non-unimodular Lie group equipped with a left invariant non-Kenmotsu almost Kenmotsu structure. Furt

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18

Mert, Tuğba, Mehmet Atçeken та Pakize Uygun. "On Almost C(α)-Manifold Satisfying Certain Curvature Conditions". Cumhuriyet Science Journal 45, № 1 (2023): 135–46. http://dx.doi.org/10.17776/csj.1312302.

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This research article is about the geometry of the almost C(α)- manifold. Some important properties of the almost C(α)- manifold with respect to the W_3- curvature tensor, such as W_3-flat and W_3- semi-symmetry, are investigated. The relationship of W_3- curvature tensor with Riemann, Ricci, projective, concircular and quasi-conformal curvature tensor is discussed on the almost C(α)- manifold and many important results are obtained. In addition, W_3- pseudo symmetry and W_3- Ricci pseudo symmetry are investigated for the almost C(α)- manifold. The results obtained are interesting and give an

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19

Khromova, O. P., and V. V. Balashchenko. "Symmetric Ricci Flows of Semisymmetric Connections on Three-Dimensional Metrical Lie Groups: An Analysis." Izvestiya of Altai State University, no. 1(129) (March 28, 2023): 141–44. http://dx.doi.org/10.14258/izvasu(2023)1-23.

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The study of Ricci flows, which describe the deformation of (pseudo) Riemannian metrics on a manifold, and their solutions, Ricci solitons, has garnered much attention from mathematicians. However, previous studies have typically focused on manifolds with Levi-Civita connections. This paper breaks new ground by considering manifolds with semisymmetric connections, which also include the Levi-Civita connection. Metric connections with vector torsion, or semisymmetric connections, were first studied by E. Cartan on (pseudo) Riemannian manifolds. Later, K. Yano and I. Agricola studied tensor fiel

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20

Aruna Kumara, H., Karabi Sikdar, and V. Venkatesha. "Almost *-Ricci solitons on contact strongly pseudo-convex integrable CR-manifolds." Filomat 38, no. 2 (2024): 543–51. http://dx.doi.org/10.2298/fil2402543a.

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We prove that if contact strongly pseudo-convex integrable CR-manifold admits a *-Ricci soliton where the soliton vector Z is contact, then the Reeb vector field ? is an eigenvector of the Ricci operator at each point if and only if ? is constant. Then we study contact strongly pseudo-convex integrable CR-manifold such that 1 is a almost *-Ricci soliton with potential vector field Z collinear with ?. To this end, we prove that if a 3-dimensional contact metric manifoldMwith Q? = ?Q which admits a gradient almost *-Ricci soliton, then either M is flat or f is constant.

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21

Das, B., and A. Bhattacharyya. "Hypersurface of Para Sasakian Manifold." Journal of the Tensor Society 4, no. 01 (2007): 09–19. http://dx.doi.org/10.56424/jts.v4i01.10429.

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Thepresent paper deals with weakly symmetric and weakly Ricci-symmetric almost r-para contact manifolds of LP-Sasakian type and Kenmotsu type. We obtain necessary conditions in order that an almost r-para contact manifolds of LP-Sasakian and of Kenmotsu type be weakly symmetric and weakly Riccisymmetric, respectively.

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22

Suh, Young Jin, Carlo Alberto Mantica, Uday Chand De, and Prajjwal Pal. "Pseudo B-symmetric manifolds." International Journal of Geometric Methods in Modern Physics 14, no. 09 (2017): 1750119. http://dx.doi.org/10.1142/s0219887817501195.

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In this paper, we introduce a new tensor named [Formula: see text]-tensor which generalizes the [Formula: see text]-tensor introduced by Mantica and Suh [Pseudo [Formula: see text] symmetric Riemannian manifolds with harmonic curvature tensors, Int. J. Geom. Methods Mod. Phys. 9(1) (2012) 1250004]. Then, we study pseudo-[Formula: see text]-symmetric manifolds [Formula: see text] which generalize some known structures on pseudo-Riemannian manifolds. We provide several interesting results which generalize the results of Mantica and Suh [Pseudo [Formula: see text] symmetric Riemannian manifolds w

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23

Khan, Mohammad Nazrul Islam, Fatemah Mofarreh, and Abdul Haseeb. "Tangent Bundles of P-Sasakian Manifolds Endowed with a Quarter-Symmetric Metric Connection." Symmetry 15, no. 3 (2023): 753. http://dx.doi.org/10.3390/sym15030753.

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The purpose of this study is to evaluate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection on the tangent bundle TM. Certain results on a semisymmetric P-Sasakian manifold, generalized recurrent P-Sasakian manifolds, and pseudo-symmetric P-Sasakian manifolds on TM are proved.

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24

Li, Yanlin, Huchchappa A. Kumara, Mallannara Siddalingappa Siddesha, and Devaraja Mallesha Naik. "Characterization of Ricci Almost Soliton on Lorentzian Manifolds." Symmetry 15, no. 6 (2023): 1175. http://dx.doi.org/10.3390/sym15061175.

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Ricci solitons (RS) have an extensive background in modern physics and are extensively used in cosmology and general relativity. The focus of this work is to investigate Ricci almost solitons (RAS) on Lorentzian manifolds with a special metric connection called a semi-symmetric metric u-connection (SSM-connection). First, we show that any quasi-Einstein Lorentzian manifold having a SSM-connection, whose metric is RS, is Einstein manifold. A similar conclusion also holds for a Lorentzian manifold with SSM-connection admitting RS whose soliton vector Z is parallel to the vector u. Finally, we ex

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25

Baishya, Kanak Kanti, and Ashis Biswas. "Study on generalised pseudo (Ricci) symmetric Sasakian manifold admitting." SERIES III - MATEMATICS, INFORMATICS, PHYSICS 61(12), no. 2 (2020): 233–46. http://dx.doi.org/10.31926/but.mif.2019.61.12.2.4.

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26

Kumar, R. T. Naveen, and Venkat esha. "On Pseudo Ricci-Symmetric N(k) - Contact Metric Manifold." International Journal of Mathematics Trends and Technology 34, no. 2 (2016): 118–21. http://dx.doi.org/10.14445/22315373/ijmtt-v34p520.

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27

De, Krishnendu, Changhwa Woo, and Uday De. "Geometric and physical characterizations of a spacetime concerning a novel curvature tensor." Filomat 38, no. 10 (2024): 3535–46. https://doi.org/10.2298/fil2410535d.

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In this article, we introduce ?-concircular curvature tensor, a new tensor that generalizes the concircular curvature tensor. At first, we produce a few fundamental geometrical properties of ?-concircular curvature tensor and pseudo ?-concircularly symmetric manifolds and provide some inter-esting outcomes. Besides, we investigate ?-concircularly flat spacetimes and establish some significant results about Minkowski spacetime, RW-spacetime, and projective collineation. Moreover, we show that if a ?-concircularly flat spacetime admits a Ricci bi-conformal vector field, then it is either Petrov

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28

Baishya, Kanak Kanti, and Partha Roy Chowdhury. "On Almost Generalized Weakly Symmetric LP-Sasakian Manifolds." Annals of West University of Timisoara - Mathematics and Computer Science 55, no. 2 (2017): 51–64. http://dx.doi.org/10.1515/awutm-2017-0014.

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AbstractThe purpose of this paper is to introduce the notions of an almost generalized weakly symmetric LP-Sasakian manifolds and an almost generalized weakly Ricci-symmetric LP-Sasakian manifolds. The existence of an almost generalized weakly symmetric LP-Sasakian manifold is ensured by a non-trivial example.

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29

MANTICA, CARLO ALBERTO, and YOUNG JIN SUH. "PSEUDO-Q-SYMMETRIC RIEMANNIAN MANIFOLDS." International Journal of Geometric Methods in Modern Physics 10, no. 05 (2013): 1350013. http://dx.doi.org/10.1142/s0219887813500138.

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In this paper, we introduce a new kind of tensor whose trace is the well-known Z tensor defined by the present authors. This is named Q tensor: the displayed properties of such tensor are investigated. A new kind of Riemannian manifold that embraces both pseudo-symmetric manifolds ( PS )n and pseudo-concircular symmetric manifolds [Formula: see text] is defined. This is named pseudo-Q-symmetric and denoted with ( PQS )n. Various properties of such an n-dimensional manifold are studied: the case in which the associated covector takes the concircular form is of particular importance resulting in

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30

De, Uday, and Ajit Barman. "On a type of semisymmetric metric connection on a Riemannian manifold." Publications de l'Institut Math?matique (Belgrade) 98, no. 112 (2015): 211–18. http://dx.doi.org/10.2298/pim150317025d.

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We study a type of semisymmetric metric connection on a Riemannian manifold whose torsion tensor is almost pseudo symmetric and the associated 1-form of almost pseudo symmetric manifold is equal to the associated 1-form of the semisymmetric metric connection.

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31

Wang, Yaning. "Semi-symmetric almost coKähler 3-manifolds." International Journal of Geometric Methods in Modern Physics 15, no. 02 (2018): 1850031. http://dx.doi.org/10.1142/s0219887818500317.

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Let [Formula: see text] be an almost coKähler [Formula: see text]-manifold such that the vertical Ricci curvatures are invariant along the Reeb vector field. In this paper, we prove that [Formula: see text] is semi-symmetric if and only if it is coKähler.

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32

Bulut, Şenay. "A quarter-symmetric metric connection on almost contact B-metric manifolds." Filomat 33, no. 16 (2019): 5181–90. http://dx.doi.org/10.2298/fil1916181b.

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The aim of this paper is to study the notion of a quarter-symmetric metric connection on an almost contact B-metric manifold (M,?,?,?,g). We obtain the relation between the Levi-Civita connection and the quarter-symmetric metric connection on (M,?,?,?,g).We investigate the curvature tensor, Ricci tensor and scalar curvature tensor with respect to the quarter-symmetric metric connection. In case the manifold (M,?,?,?,g) is a Sasaki-like almost contact B-metric manifold, we get some formulas. Finally, we give some examples of a quarter-symmetric metric connection.

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33

Naik, Shweta, та H. G. Nagaraja. "EQUIVALENT STRUCTURES ON N (κ) MANIFOLD ADMITTING GENERALIZED TANAKA WEBSTER CONNECTION". South East Asian J. of Mathematics and Mathematical Sciences 18, № 03 (2022): 193–206. http://dx.doi.org/10.56827/seajmms.2022.1803.16.

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The main objective of the present paper is to study the equivalence of semi-symmetric and pseudo-symmetric conditions imposing on different curvature tensors in N (κ) manifolds admitting generalized Tanaka Webster ( ˜) connection. Classification is done according as expression of Ricci tensor and scalar curvature with respect to ∇˜. Finally an example is given.

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34

M.B., Banaru. "A note on Gray problem." Differential Geometry of Manifolds of Figures, no. 53 (2022): 13–19. http://dx.doi.org/10.5922/0321-4796-2022-53-2.

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We consider posed in 1960s Alfred Gray problem on the existence of a six-dimensional non-Kählerian almost Kählerian manifold. We study six-dimensional almost Hermitian locally symmetric submanifolds of Ricci type of Cayley algebra (the notion of such six-dimensional submanifolds of the octave algebra was introduced by Vadim Feodorovich Kirichenko). Our main result is the following: it is proved that a six-dimensional almost Hermitian locally symmetric submanifold of Ricci type of Cayley algebra does not admit a non-Kählerian almost Kählerian structure.

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35

Haji-Badali, Ali, and Amirhesam Zaeim. "Commutative curvature operators over four-dimensional homogeneous manifolds." International Journal of Geometric Methods in Modern Physics 12, no. 10 (2015): 1550123. http://dx.doi.org/10.1142/s0219887815501236.

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Four-dimensional pseudo-Riemannian homogeneous spaces whose isotropy is non-trivial with commuting curvature operators have been studied. The only example of homogeneous Einstein four-manifold which is curvature-Ricci commuting but not semi-symmetric has been presented. Non-trivial examples of semi-symmetric homogeneous four-manifolds which are not locally symmetric, also Jacobi–Jacobi commuting manifolds which are not flat have been presented.

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36

De, Avik, Cihan Özgür, and Uday Chand De. "On Conformally Flat Almost Pseudo-Ricci Symmetric Spacetimes." International Journal of Theoretical Physics 51, no. 9 (2012): 2878–87. http://dx.doi.org/10.1007/s10773-012-1164-0.

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37

Uysal, S. Aynur, and Hülya Bağdatlı Yılmaz. "Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold." Advances in Mathematical Physics 2020 (July 1, 2020): 1–4. http://dx.doi.org/10.1155/2020/6831650.

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The object of the paper is to study some properties of the generalized Einstein tensor GX,Y which is recurrent and birecurrent on pseudo-Ricci symmetric manifolds PRSn. Considering the generalized Einstein tensor GX,Y as birecurrent but not recurrent, we state some theorems on the necessary and sufficient conditions for the birecurrency tensor of GX,Y to be symmetric.

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38

Cavalletti, Fabio, and Andrea Mondino. "Almost Euclidean Isoperimetric Inequalities in Spaces Satisfying Local Ricci Curvature Lower Bounds." International Mathematics Research Notices 2020, no. 5 (2018): 1481–510. http://dx.doi.org/10.1093/imrn/rny070.

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Abstract Motivated by Perelman’s Pseudo-Locality Theorem for the Ricci flow, we prove that if a Riemannian manifold has Ricci curvature bounded below in a metric ball which moreover has almost maximal volume, then in a smaller ball (in a quantified sense) it holds an almost euclidean isoperimetric inequality. The result is actually established in the more general framework of non-smooth spaces satisfying local Ricci curvature lower bounds in a synthetic sense via optimal transportation.

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Andreeva, T. A., V. V. Balashchenko, D. N. Oskorbin, and E. D. Rodionov. "Conformally Killing Fields on 2-Symmetric Five-Dimensional Lorentzian Manifolds." Izvestiya of Altai State University, no. 1(117) (March 17, 2021): 68–71. http://dx.doi.org/10.14258/izvasu(2021)1-11.

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The papers of many mathematicians are devoted to the study of conformally Killing vector fields. Being a natural generalization of the concept of Killing vector fields, these fields generate a Lie algebra corresponding to the Lie group of conformal transformations of the manifold. Moreover, they generate the class of locally conformally homogeneous (pseudo) Riemannian manifolds studied by V.V. Slavsky and E.D. Rodionov. Ricci solitons, which R. Hamilton first considered, are another important area of research. Ricci solitons are a generalization of Einstein's metrics on (pseudo) Riemannian man

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40

Pandit, Mrityunjoy Kumar. "Almost Pseudo-Ricci Symmetric Mixed Generalized Quasi-Einstein Space-time." Journal of Physical Sciences 28 (December 30, 2023): 17–22. http://dx.doi.org/10.62424/jps.2023.28.00.03.

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41

De, Uday Chand, and Abul Kalam Gazi. "On Conformally at Almost Pseudo Ricci Symmetric Mani-folds." Kyungpook mathematical journal 49, no. 3 (2009): 507–20. http://dx.doi.org/10.5666/kmj.2009.49.3.507.

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42

Li, Yanlin, Aydin Gezer, and Erkan Karakaş. "Some notes on the tangent bundle with a Ricci quarter-symmetric metric connection." AIMS Mathematics 8, no. 8 (2023): 17335–53. http://dx.doi.org/10.3934/math.2023886.

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<abstract><p>Let $ (M, g) $ be an $ n $-dimensional (pseudo-)Riemannian manifold and $ TM $ be its tangent bundle $ TM $ equipped with the complete lift metric $ ^{C}g $. First, we define a Ricci quarter-symmetric metric connection $ \overline{\nabla } $ on the tangent bundle $ TM $ equipped with the complete lift metric $ ^{C}g $. Second, we compute all forms of the curvature tensors of $ \overline{\nabla } $ and study their properties. We also define the mean connection of $ \overline{\nabla } $. Ricci and gradient Ricci solitons are important topics studied extensively lately. N

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., Amarnath, and Aditya Kumar Chauhan. "On Weakly Symmetric and Weakly Ricci-Symmetric Almost r-Para Contact Manifolds of LP-Sasakian and Kenmotsu Type." Journal of the Tensor Society 4, no. 01 (2007): 1–8. http://dx.doi.org/10.56424/jts.v4i01.10428.

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In this paper, we have studied Hypersurface of Para Sasakian Manifold. Basic informations are given in the first section. Hypersurface immersed in an almost paracontact Riemannian manifold is investigated in the second section.

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Mert, Tugba, Mehmet Atceken, and Pakize Uygun. "Characterization of Almost \(\eta\) -Ricci Solitons With Respect to Schouten-van Kampen Connection on Sasakian Manifolds." Asian Journal of Mathematics and Computer Research 31, no. 1 (2024): 64–75. http://dx.doi.org/10.56557/ajomcor/2024/v31i18585.

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In this paper, we investigate Sasakian manifolds that admit almost \(\eta\) -Ricci solitons with respect to the Schouten-van Kampen connection using certain curvature tensors. Concepts of Ricci pseudosymmetry for Sasakian manifolds admitting \(\eta\)-Ricci solitons are introduced based on the selection of specific curvature tensors such as Riemann, concircular, projective, pseudo-projective, M-projective, and W2 tensors. Subsequently, necessary conditions are established for a Sasakian manifold admitting \(\eta\)-Ricci soliton with respect to the Schouten-van Kampen connection to be Ricci semi

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Wang, Wenjie, and Ximin Liu. "Almost Kenmotsu 3-manifolds satisfying some generalized nullity conditions." Filomat 32, no. 1 (2018): 197–206. http://dx.doi.org/10.2298/fil1801197w.

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In this paper, a three-dimensional almost Kenmotsu manifold M3 satisfying the generalized (k,?)'-nullity condition is investigated. We mainly prove that on M3 the following statements are equivalent: (1) M3 is ?-symmetric; (2) the Ricci tensor of M3 is cyclic-parallel; (3) the Ricci tensor of M3 is of Codazzi type; (4) M3 is conformally flat with scalar curvature invariant along the Reeb vector field; (5) M3 is locally isometric to either the hyperbolic space H3(-1) or the Riemannian product H2(-4) x R.

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MANTICA, CARLO ALBERTO, and YOUNG JIN SUH. "RECURRENT Z FORMS ON RIEMANNIAN AND KAEHLER MANIFOLDS." International Journal of Geometric Methods in Modern Physics 09, no. 07 (2012): 1250059. http://dx.doi.org/10.1142/s0219887812500594.

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In this paper, we introduce a new kind of Riemannian manifold that generalize the concept of weakly Z-symmetric and pseudo-Z-symmetric manifolds. First a Z form associated to the Z tensor is defined. Then the notion of Z recurrent form is introduced. We take into consideration Riemannian manifolds in which the Z form is recurrent. This kind of manifold is named ( ZRF )n. The main result of the paper is that the closedness property of the associated covector is achieved also for rank (Zkl) > 2. Thus the existence of a proper concircular vector in the conformally harmonic case and the form of

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Manev, Mancho. "Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds". Mathematics 13, № 11 (2025): 1863. https://doi.org/10.3390/math13111863.

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The manifolds studied are almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. They are equipped with a pair of pseudo-Riemannian metrics that are mutually associated to each other using an almost contact structure. Furthermore, the structural endomorphism acts as an anti-isometry for these metrics, called B-metrics, if its action is restricted to the contact distribution of the manifold. In this paper, some curvature properties of a special class of these manifolds, called Sasaki-like, are studied. Such a manifold is defined by the condition that its c

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Hazra, Dipankar, and Uday Chand De. "CHARACTERIZATIONS OF ALMOST PSEUDO-RICCI SYMMETRIC SPACETIMES UNDER GRAY's DECOMPOSITION." Reports on Mathematical Physics 91, no. 1 (2023): 29–38. http://dx.doi.org/10.1016/s0034-4877(23)00008-3.

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He, Guoqing, and Peibiao Zhao. "On submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection." Filomat 33, no. 17 (2019): 5463–75. http://dx.doi.org/10.2298/fil1917463h.

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We study submanifolds of an almost contact metric manifold admitting a quarter-symmetric non-metric connection. We prove the induced connection on a submanifold is also quarter-symmetric non-metric connection. We consider the total geodesicness and minimality of a submanifold with respect to the quarter-symmetric non-metric connection. We obtain the Gauss, Cadazzi and Ricci equations for submanifolds with respect to the quarter-symmetric non-metric connection and show some applications of these equations. Finally, we give two examples verifying the results

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Pan, Quanxiang, Hui Wu, and Yajie Wang. "Almost Kenmotsu 3-h-manifolds with transversely Killing-type Ricci operators." Open Mathematics 18, no. 1 (2020): 1056–63. http://dx.doi.org/10.1515/math-2020-0057.

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Abstract In this paper, it is proved that the Ricci operator of an almost Kenmotsu 3-h-manifold M is of transversely Killing-type if and only if M is locally isometric to the hyperbolic 3-space {{\mathbb{H}}}^{3}(-1) or a non-unimodular Lie group endowed with a left invariant non-Kenmotsu almost Kenmotsu structure. This result extends those results obtained by Cho [Local symmetry on almost Kenmotsu three-manifolds, Hokkaido Math. J. 45 (2016), no. 3, 435–442] and Wang [Three-dimensional locally symmetric almost Kenmotsu manifolds, Ann. Polon. Math. 116 (2016), no. 1, 79–86; Three-dimensional a

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