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Journal articles on the topic 'Quarter-symmetric metric connection'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Zhao, Di, Cholyong Jen, and Talyun Ho. "On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold." Filomat 34, no. 3 (2020): 795–806. http://dx.doi.org/10.2298/fil2003795z.

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Two new types of connections, Ricci quarter-symmetric metric recurrent connection and projective Ricci quarter-symmetric metric recurrent connection, were introduced and some interesting geometrical and physical characteristics were achieved.

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2

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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3

Rahman, Shamsur. "Characterization of Quarter Symmetric Non-Metric Connection on Transversal Hypersurfaces of Lorentzian para-Sasakian Manifolds." Journal of the Tensor Society 8, no. 01 (2007): 65–75. http://dx.doi.org/10.56424/jts.v8i01.10557.

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In the present paper, quarter symmetric non metric connection on transversal hypersurfaces of Lorentzian para-Sasakian manifold is defined. It is studied the characterization of connections for product structure and it is shown that each transversal hypersurfaces of Lorentzian para-Sasakian manifold admits an almost product Lorentzian structure on a quarter symmetric non metric connection. Some characterization of transversal hypersurfaces of Lorentzian paraSasakian manifold with a quarter symmetric non metric connection are studied which are closed.

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4

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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5

Zhang, Pengfei, Yanlin Li, Soumendu Roy та Santu Dey. "Geometry of α-Cosymplectic Metric as ∗-Conformal η-Ricci–Yamabe Solitons Admitting Quarter-Symmetric Metric Connection". Symmetry 13, № 11 (2021): 2189. http://dx.doi.org/10.3390/sym13112189.

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The outline of this research article is to initiate the development of a ∗-conformal η-Ricci–Yamabe soliton in α-Cosymplectic manifolds according to the quarter-symmetric metric connection. Here, we have established some curvature properties of α-Cosymplectic manifolds in regard to the quarter-symmetric metric connection. Further, the attributes of the soliton when the manifold gratifies a quarter-symmetric metric connection have been displayed in this article. Later, we picked up the Laplace equation from ∗-conformal η-Ricci–Yamabe soliton equation when the potential vector field ξ of the sol

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6

Mandal, Krishanu, and Uday Chand De. "Quarter-symmetric metric connection in a P-Sasakian manifold." Annals of West University of Timisoara - Mathematics and Computer Science 53, no. 1 (2015): 137–50. http://dx.doi.org/10.1515/awutm-2015-0007.

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Abstract In this paper, we consider a quarter-symmetric metric connection in a P-Sasakian manifold. We investigate the curvature tensor and the Ricci tensor of a P-Sasakian manifold with respect to the quarter-symmetric metric connection. We consider semisymmetric P-Sasakian manifold with respect to the quarter- symmetric metric connection. Furthermore, we consider generalized recurrent P-Sasakian manifolds and prove the non-existence of recurrent and pseudosymmetric P-Sasakian manifolds with respect to the quarter-symmetric metric connection. Finally, we construct an example of a 5-dimensiona

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7

Zhao, Di, Talyun Ho, and Cholyong Jon. "Geometries of a manifold with a symmetric-type quarter-symmetric non-metric connection." Filomat 38, no. 13 (2024): 4553–67. https://doi.org/10.2298/fil2413553z.

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We introduce a symmetric-type quarter-symmetric non-metric connection family in a Rieman-nian manifold and study its geometrical properties. We also study the Schur?s theorem of the symmetric-type quarter-symmetric projective non-metric connection family and the symmetric-type quarter-symmetric conformal non-metric connection family.

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8

Aquib, Md, Vaishali Sah, Sarvesh Kumar Yadav, and Jaya Upreti. "On Ricci Solitons and Curvature Properties of Doubly Warped Products with QSMC." Axioms 14, no. 8 (2025): 548. https://doi.org/10.3390/axioms14080548.

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This paper explores the geometric interplay between the Levi–Civita connection and the quarter-symmetric metric connection on doubly warped product manifolds. We analyze the behavior of Ricci solitons on such manifolds, focusing on the influence of conformal and Killing vector fields within the framework of quarter-symmetric metric connections (QSMCs). Furthermore, we examine conditions under which the manifold exhibits Einstein properties, presenting new insights into Einstein-like structures in the context of doubly warped product manifolds endowed with a quarter-symmetric metric connection.

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9

Chen, Shuo, and Haiming Liu. "Quarter-Symmetric Non-Metric Connection of Non-Integrable Distributions." Symmetry 16, no. 7 (2024): 848. http://dx.doi.org/10.3390/sym16070848.

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In this paper, we focus on non-integrable distributions with a quarter-symmetric non-metric connection (QSNMC) in generalized Riemannian manifold. First, by studying a quarter-symmetric connection on the generalized Riemannian manifold, we obtain the condition that the connection is non-metric. Then, the Gauss, Codazzi and Ricci equations are proved for non-integrable distributions with respect to a quarter-symmetric non-metric connection in generalized Riemannian manifold. Furthermore, we deduce Chen’s inequalities for non-integrable distributions of real space forms with a quarter-symmetric

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10

Kumar, Rajesh, Laltluangkima Chawngthu, Oğuzhan Bahadir, and Meraj Ali Khan. "A Study of Generalized Symmetric Metric Connection on Nearly Kenmotsu Manifolds." Symmetry 17, no. 3 (2025): 317. https://doi.org/10.3390/sym17030317.

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The focus of this research is on investigating a new category of generalized symmetric metric connections within nearly Kenmotsu manifolds. The study delves into recognizing the generalized symmetric connections of type (α, β), which represent broader versions of the semi-symmetric metric connection (α=1, β=0) and the quarter-symmetric metric connection (α=0, β=1).

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11

Khan, Mohammad Nazrul Islam, Uday Chand De, and Ljubica S. Velimirović. "Lifts of a Quarter-Symmetric Metric Connection from a Sasakian Manifold to Its Tangent Bundle." Mathematics 11, no. 1 (2022): 53. http://dx.doi.org/10.3390/math11010053.

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The objective of this paper is to explore the complete lifts of a quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle. A relationship between the Riemannian connection and the quarter-symmetric metric connection from a Sasakian manifold to its tangent bundle was established. Some theorems on the curvature tensor and the projective curvature tensor of a Sasakian manifold with respect to the quarter-symmetric metric connection to its tangent bundle were proved. Finally, locally ϕ-symmetric Sasakian manifolds with respect to the quarter-symmetric metric connection t

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12

Tang, Wanxiao, Yun Ho, Kwang Ri, Fengyun Fu, and Peibiao Zhao. "On a generalized quarter symmetric metric recurrent connection." Filomat 32, no. 1 (2018): 207–15. http://dx.doi.org/10.2298/fil1801207t.

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We introduce a generalized quarter-symmetric metric recurrent connection and study its geometrical properties. We also derive the Schur?s theorem for the generalized quarter-symmetric metric recurrent connection.

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13

Mondal, Abul Kalam, and U. C. De. "Quarter-Symmetric Nonmetric Connection on P-Sasakian Manifolds." ISRN Geometry 2012 (December 3, 2012): 1–14. http://dx.doi.org/10.5402/2012/659430.

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The object of the present paper is to study a quarter-symmetric nonmetric connection on a P-Sasakian manifold. In this paper we consider the concircular curvature tensor and conformal curvature tensor on a P-Sasakian manifold with respect to the quarter-symmetric nonmetric connection. Next we consider second-order parallel tensor with respect to the quarter-symmetric non-metric connection. Finally we consider submanifolds of an almost paracontact manifold with respect to a quarter-symmetric non-metric connection.

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14

AKPINAR, RABİA CAKAN, and HARUN ÇAĞATAY OKYAY. "QUARTER-SYMMETRIC METRIC CONNECTION ON TANGENT BUNDLE OF NORDEN MANIFOLD." Journal of Science and Arts 21, no. 3 (2021): 647–58. http://dx.doi.org/10.46939/j.sci.arts-21.3-a05.

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The aim of the paper is to study the tangent bundle of Norden manifolds endowed with the complete lift of quarter-symmetric metric connection. Firstly, the complete lift of quarter-symmetric metric connection is obtained on tangent bundle of almost Norden manifold. Under the condition of integrability of structure, the almost Norden manifold endowed with the quarter-symmetric metric connection is shown to be Norden manifold.

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15

Siddiqi, Mohd Danish, and Rawan Bossly. "Solitonical Inequality on Submanifolds in Trans-Sasakian Manifolds Coupled with a Slant Factor." Axioms 13, no. 6 (2024): 370. http://dx.doi.org/10.3390/axioms13060370.

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In this article, we study the Ricci soliton on slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection. Moreover, we derive a lower-bound-type inequality for the slant submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection in terms of gradient Ricci solitons. We also characterize anti-invariant, invariant, quasi-umbilical submanifolds of trans-Sasakian manifolds with a quarter symmetric non-metric connection for which the same inequality case holds. Finally, we deduce the above inequalities in terms of a scalar concircular

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16

Zhao, Di, Tal-Yun Ho, Chol-Yong Jon, and Fengyun Fu. "Geometric properties of a manifold associated with a generalized quarter-symmetric non-metric connection." Filomat 38, no. 29 (2024): 10133–46. https://doi.org/10.2298/fil2429133z.

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The present paper investigates the fundamental physical invariants under some transform groups, and confirms some geometric characteristics of a manifold associated with some connections. This article firstly introduces a generalized quarter-symmetric non-metric connection family and studies sys-tematically its geometrical properties. The present paper also arrives at the interesting projective invariant of the generalized quarter-symmetric non-metric connection family.

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17

Zlatanovic, Milan, and Miroslav Maksimovic. "Quarter-symmetric generalized metric connections on a generalized Riemannian manifold." Filomat 37, no. 12 (2023): 3927–37. http://dx.doi.org/10.2298/fil2312927z.

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We define and study the quarter-symmetric connection preserving the generalized metric G in the generalized Riemannian manifold. It is proved that skew-symmetric part F of the generalized metric G in the generalized Riemannian manifold with the quarter-symmetric generalized metric connection is closed and hence the even-dimensional manifold is a symplectic manifold. We also observed the properties of curvature tensors and connection transformations in which the Riemannian tensor of the Levi-Civita connection is invariant. Finally, we observed the quarter-symmetric connection with a special con

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18

Bagewadi, C. S., та Gurupadavva Ingalahalli. "A Study on the φ - Symmetric K-Contact Manifold Admitting Quarter-Symmetric Metric Connection". Zurnal matematiceskoj fiziki, analiza, geometrii 10, № 4 (2014): 399–411. http://dx.doi.org/10.15407/mag10.04.399.

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19

Zhao, Di, Talyun Ho, Kumhyok Kwak, and Cholyong Jon. "Geometric characteristics of a manifold with a symmetric-type quarter-symmetric projective conformal non-metric connection." Filomat 35, no. 15 (2021): 5137–47. http://dx.doi.org/10.2298/fil2115137z.

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We introduce a quarter-symmetric projective conformal non-metric connection family and study its geometrical properties. Further we investigate the geometries of a symmetric-type quarter-symmetric projective conformal non-metric connection satisfying the Schur?s theorem.

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20

Khan, Mohammad Nazrul Islam, and Jae-Bok Jun. "QUARTER-SYMMETRIC METRIC CONNECTION ON TANGENT BUNDLES." Far East Journal of Mathematical Sciences (FJMS) 101, no. 10 (2017): 2219–29. http://dx.doi.org/10.17654/ms101102219.

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21

Rahman, Shamsur. "CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection." Jurnal Matematika 6, no. 2 (2016): 68. http://dx.doi.org/10.24843/jmat.2016.v06.i02.p69.

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The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection. For this, some properties of CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection are investigated which conclude that CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection exists with respect to the ?????horizontal and ?????vertical.

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22

Hui, S. K., J. Mikes, and Pradip Mandal. "Submanifolds of Kenmotsu Manifolds and Ricci Solitons." Journal of the Tensor Society 10, no. 01 (2009): 79–89. http://dx.doi.org/10.56424/jts.v10i01.10572.

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The present paper deals with the study of Ricci solitons on submanifolds, specially invariant and anti-invariant submanifolds of Kenmotsu manifolds with respect to Riemannian connection, quarter symmetric metric connection and quarter symmetric non-metric φ-connection, respectively.

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23

Pradeep Kumar, K. T., Venkatesha та C. S. Bagewadi. "On ϕ-Recurrent Para-Sasakian Manifold Admitting Quarter-Symmetric Metric Connection". ISRN Geometry 2012 (16 лютого 2012): 1–10. http://dx.doi.org/10.5402/2012/317253.

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We obtained the relation between the Riemannian connection and the quarter-symmetric metric connection on a para-Sasakian manifold. Further, we study ϕ-recurrent and concircular ϕ-recurrent para-Sasakian manifolds with respect to quarter-symmetric metric connection.

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24

Mohd, Danish Siddiqi. "PROLONGATION OF HYPERSURFACES WITH QUARTER SYMMETRIC METRIC CONNECTION TO TANGENT BUNDLE." International Journal of Pure & Applied Mathematical Research 1, no. 1 (2017): 22–35. https://doi.org/10.5281/zenodo.10823914.

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<strong><em>ABSTRACT</em></strong>               The present paper is to considering the Lifting theory, we study lift of hypersurfaces with quarter symmetric metric in connection to the  tangent bundles and to obtain certain results on totally geodesic. Also we obtain structure equations with respect to quarter symmetric metric connection.  <strong>AMS Subject Classification:</strong> 53C05, 53C15, 53C22, 53B25, 53C40.  <strong>Keywords and phrases:</strong> Lift, hypersurfaces, tangent bundles, quarter symmetric

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25

Yadav, R. P. S., та B. Prasad. "QUARTER SYMMETRIC NON-METRIC CONNECTION ON A (k, μ)−CONTACT METRIC MANIFOLD". South East Asian Journal of Mathematics and Mathematical Sciences 19, № 02 (2023): 359–78. http://dx.doi.org/10.56827/seajmms.2023.1902.27.

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The object of the present paper is to introduce a new type of quartersymmetric non-metric connection on a (k, μ)−contact metric manifold and studysome properties of quarter symmetric non-metric connection on a (k, μ)−contactmetric manifold. Further, we obtain some properties of nearly Ricci recurrent ona (k, μ)−contact metric manifold with respect to quarter symmetric non-metricconnection. Finally, we present an example to verify our result.

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26

Haseeb, Abdul, and Rajendra Prasad. "Certain results on Lorentzian para-Kenmotsu manifolds." Boletim da Sociedade Paranaense de Matemática 39, no. 3 (2021): 201–20. http://dx.doi.org/10.5269/bspm.40607.

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The object of the present paper is to study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection. First we study Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection satisfying the conditions $\bar R\cdot \bar S=0$ and $\bar S\cdot \bar R=0$. After that we study $\phi$-conformally flat, $\phi$-conharmonically flat, $\phi$-concircularly flat, $\phi$-projectively flat and conformally flat Lorentzian para-Kenmotsu manifolds with respect to the quarter-symmetric metric connection and it is shown that in each of these case

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27

Maksimović, Miroslav D., and Milan Lj Zlatanović. "Quarter-Symmetric Metric Connection on a Cosymplectic Manifold." Mathematics 11, no. 9 (2023): 2209. http://dx.doi.org/10.3390/math11092209.

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We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A-connection, we construct the Weyl projective curvature tensor on a cosymplectic manifold. In this way, we obtain new conditions for the manifold to be projectively flat. At the end of the paper, we define η-Einstein cosymplectic manifolds of the θ-th kind and prove that they coincide with the η-Einstein cosymplectic manifold.

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28

Narain, Dhruwa, and Gajendra Nath Tripathi. "Quarter-Symmetric Metric Connection in P-Sasakian Manifold." Journal of the Tensor Society 8, no. 01 (2007): 45–52. http://dx.doi.org/10.56424/jts.v8i01.10559.

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29

Chen, Zhizhi, Yanlin Li, Aydin Gezer, Erkan Karakas та Cagri Karaman. "E-Connections on the ε-Anti-Kähler Manifolds". Symmetry 14, № 9 (2022): 1899. http://dx.doi.org/10.3390/sym14091899.

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The paper undertakes certain special forms of the quarter symmetric metric and non-metric connections on an ε-anti-Kähler manifold. Firstly, we deduce the relation between the Riemannian connection and the special forms of the quarter symmetric metric and non-metric connections. Then, we present some results concerning the torsion tensors of these connections. In addition, we find the forms of the curvature tensor, the Ricci curvature tensor and scalar curvature of such connections and we search the conditions for the ε-anti-Kähler manifold to be an Einstein space with respect to these connect

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30

Shukla, N. V. C., and Amisha Sharma. "STUDY OF RICCI SOLITONS IN f-KENMOTSU MANIFOLDS WITH THE QUARTER-SYMMETRIC METRIC CONNECTION." jnanabha 53, no. 01 (2023): 293–99. http://dx.doi.org/10.58250/jnanabha.2023.53135.

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In this paper, the non-existence of ξ-projectively flat 3-dimensional f -Kenmotsu manifold with quarter-symmetric metric connection has been established. Moreover, we prove that 3-dimensional f - Kenmotsu manifold with the quarter-symmetric metric connection is an η- Einstein manifold and the Ricci soliton is given as expanding or shrinking under certain restrictions on f .

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31

Nivas, Ram, and Anurag Agnihotri. "On a Hsu-Unified Structure Manifold with a Quarter-Symmetric Non-Metric Connection." Bulletin of Mathematical Sciences and Applications 3 (February 2013): 63–70. http://dx.doi.org/10.18052/www.scipress.com/bmsa.3.63.

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In the present paper, we have defined a Hsu-unified structure manifold and a Hsu-Kahler manifold and studied some properties of the quarter-symmetric non-metric connection. Certain interesting results on such manifolds have been obtained. We have also studied the properties of the contravariant almost analytic vector field on these manifolds equipped with the quarter-symmetric non-metric connection.

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32

Khan, Mohammad. "Liftings from a para-Sasakian manifold to its tangent bundles." Filomat 37, no. 20 (2023): 6727–40. http://dx.doi.org/10.2298/fil2320727k.

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The purpose of the present paper is to study the liftings of a quarter symmetric non-metric connection from a para-Sasakian manifold to its tangent bundles. By liftings, some results of the curvature tensor, projective curvature tensor, concircular curvature tensor and conformal curvature tensor wrt a quarter symmetric non-metric connection in a P-Sasakian manifold to its tangent bundles are obtained.

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33

Zhao, Di, Kum-Hyok Kwak, Tal-Yun Ho та Chol-Yong Jon. "Geometries and topologies of a manifold with π-quarter-symmetric projective conformal and mutual connections". Filomat 37, № 12 (2023): 3915–26. http://dx.doi.org/10.2298/fil2312915z.

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We propose a new ?-quarter-symmetric projective conformal connection family and its mutual connection family and study its geometrical properties. We also arrive at the Schur?s theorem based on a symmetric-type ?-quarter-symmetric non-metric connection and investigate its geometrical property. This paper will pose a new grid computing method on manifolds, which will be done in our next topic.

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34

Bukusheva, Aliya Vladimirovna, and Sergei Vasil'evich Galaev. "Geometry of sub - Riemannian manifolds equipped with a semimetric quarter - symmetric connection." Ufa Mathematical Journal 16, no. 2 (2024): 26–35. http://dx.doi.org/10.13108/2024-16-2-26.

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On a sub-Riemannian manifold we introduce a semimetric quarter-symmetric connection by defining intrinsic metric connection and two structural endomorphisms preserving the distribution on a sub-Riemannian manifold. We find conditions ensuring the metric property of the introduced connection. We clarify the nature of the structural endomorphisms of semimetric connection consistent with a sub-Riemannian quasi-static structure defined on non-holonomic Kenmotsu manifold and on almost quasi-Sasakian manifold. We find conditions, under which the mentioned manifolds are Einstein manifolds with respec

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35

Jain, Varun, Rachna Rani, and Rakesh Kumar. "On GCR-Lightlike Submanifolds of Indefinite Kaehler Manifolds." Journal of Geometry and Symmetry in Physics 63 (2022): 21–37. http://dx.doi.org/10.7546/jgsp-63-2022-21-37.

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We study generalized Cauchy-Riemann (GCR)-lightlike submanifolds of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection. We derive a condition for a totally umbilical GCR-lightlike submanifold of indefinite Kaehler manifolds admitting a quarter-symmetric non-metric connection to be a totally geodesic submanifold. We study minimal GCR-lightlike submanifolds and obtain characterization theorem for a GCR-lightlike submanifold to be a GCR-lightlike product manifold.

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36

Chaube, Bhawana, and S. K. Chanyal. "Quarter-symmetric metric connection on a p-Kenmotsu manifold." Cubo (Temuco) 26, no. 1 (2024): 153–66. http://dx.doi.org/10.56754/0719-0646.2601.153.

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Bahadr, Oğuzhan. "P-Sasakian Manifold with Quarter-Symmetric Non-Metric Connection." Universal Journal of Applied Mathematics 6, no. 4 (2018): 123–33. http://dx.doi.org/10.13189/ujam.2018.060402.

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38

Pandey, S. K., R. L. Pat el, and R. N. Sin gh. "Generalized Sasakian-Space-Forms admitting Quarter–Symmetric Metric Connection." International Journal of Mathematics Trends and Technology 51, no. 5 (2017): 321–31. http://dx.doi.org/10.14445/22315373/ijmtt-v51p543.

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39

Khan, Mohammad Nazrul Islam. "TANGENT BUNDLE ENDOWED WITH QUARTER-SYMMETRIC NON-METRIC CONNECTION ON AN ALMOST HERMITIAN MANIFOLD." Facta Universitatis, Series: Mathematics and Informatics 35, no. 1 (2020): 167. http://dx.doi.org/10.22190/fumi2001167k.

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In this paper, we have studied the tangent bundle endowed with quarter-symmetric non-metric connection obtained by vertical and complete lifts of a quarter-symmetric non-metric connection on the base manifold and, also, proposed the study of the tangent bundle of an almost Hermitian manifold and an almost Kaehler manifold. Finally, we obtained some theorems for Nijenhuis tensor on the tangent bundle of an almost Hermitian manifold and an almost Kaehler manifold.\\

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40

., Venkatesha, and G. Divyashree. "On Weak Concircular Symmetries of Para-Sasakian Manifold admitting Quarter-symmetric Metric Connection." Journal of the Tensor Society 11, no. 01 (2007): 77–88. http://dx.doi.org/10.56424/jts.v11i01.10582.

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The object of the present paper is to study weakly concircular symmetric, weakly concircular Ricci-symmetric and special weakly concircular Riccisymmetric para-Sasakian manifold with respect to quarter-symmetric metric connection

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41

Pahan, Sampa. "Super quasi-Einstein warped products with affine connections." Gulf Journal of Mathematics 10, no. 1 (2021): 1–23. http://dx.doi.org/10.56947/gjom.v10i1.549.

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In this paper, we study super quasi-Einstein warped product spaces with semi-symmetric non-metric connection and quarter symmetric connection. Then we give the expressions of the Ricci tensors and scalar curvatures for the bases and fibers with these affine connections. Next we find the obstructions to the existence of super quasi-Einstein warped products with respect to affine connections. In the last section, we obtain an example of super quasi-Einstein space time.

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42

Khan, Mohammad Nazrul Islam, Fatemah Mofarreh, Abdul Haseeb, and Mohit Saxena. "Certain Results on the Lifts from an LP-Sasakian Manifold to Its Tangent Bundle Associated with a Quarter-Symmetric Metric Connection." Symmetry 15, no. 8 (2023): 1553. http://dx.doi.org/10.3390/sym15081553.

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The purpose of this study is to examine the complete lifts from the symmetric and concircular symmetric n-dimensional Lorentzian para-Sasakian manifolds (briefly, (LPS)n) to its tangent bundle TM associated with a Riemannian connection DC and a quarter-symmetric metric connection (QSMC) D¯C.

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43

Pradeep Kumar, K. T., B. M. Roopa, and K. H. Arun Kumar. "On W₀ and W₂ ø-Symmetric Contact Manifold Admitting Quarter-Symmetric Metric Connection." Journal of Physics: Conference Series 2070, no. 1 (2021): 012075. http://dx.doi.org/10.1088/1742-6596/2070/1/012075.

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Altunbaş, Murat. "Ricci solitons on concircularly flat and \(W_{i}\)- flat Sasakian manifolds admitting a general connection." Malaya Journal of Matematik 13, no. 01 (2025): 8–14. https://doi.org/10.26637/mjm1301/002.

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In this paper, we investigate Ricci solitons on concircularly flat and \(W_i\)−flat (\(i = 2, 3, 4\)) Sasakian manifolds. Sasakian manifolds are considered as admitting a connection which generalize the well-known connections so called the quarter symmetric metric, Schouten-Van Kampen, Tanaka-Webster and Zamkovoy connections.

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Venkatesha, Venkatesha. "Quarter-symmetric metric connection on a Lorentzian alpha-Sasakian manifold." New Trends in Mathematical Science 2, no. 5 (2017): 69–79. http://dx.doi.org/10.20852/ntmsci.2017.156.

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Sumangala, B., and Venkatesha. "Three Dimensional Trans-Sasakian Manifold Admitting Quarter Symmetric Metric Connection." British Journal of Mathematics & Computer Science 5, no. 2 (2015): 179–89. http://dx.doi.org/10.9734/bjmcs/2015/12737.

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Bahadir, Oğuzhan. "Lorentzian para-Sasakian manifold with quarter-symmetric non-metric connection." Journal of Dynamical Systems and Geometric Theories 14, no. 1 (2016): 17–33. http://dx.doi.org/10.1080/1726037x.2016.1177920.

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Hui, Shyamal Kumar, and Tanumoy Pal. "Totally real submanifolds of (LCS)n-manifolds." Facta Universitatis, Series: Mathematics and Informatics 33, no. 2 (2018): 141. http://dx.doi.org/10.22190/fumi1802141h.

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The present paper deals with the study of totally real submanifolds and C-totally real submanifolds of (LCS)n-manifolds withrespect to Levi-Civita connection as well as quarter symmetric metric connection. It is proved that scalar curvature of C-totally real submanifolds of (LCS)n-manifold with respect to both the said connections are same.

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Prasad, Rajendra, Shashikant Pandey, and Abdul Haseeb. "On a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection." Annals of West University of Timisoara - Mathematics and Computer Science 57, no. 2 (2019): 61–76. http://dx.doi.org/10.2478/awutm-2019-0015.

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B M, Roopa, Pradeep Kumar K T, Arun Kumar K H та Govardhana Reddy H G. "Concircular Φ -Symmetric (ε)-Lorentzian Para-Sasakian Manifold Admitting Quarter-Symmetric Metric Connection". International Journal of Mathematics Trends and Technology 68, № 7 (2022): 52–57. http://dx.doi.org/10.14445/22315373/ijmtt-v68i7p508.

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