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Relevant bibliographies by topics / Generalized semi pseudo Ricci symmetric manifold

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Academic literature on the topic 'Generalized semi pseudo Ricci symmetric manifold'

Author: Grafiati

Published: 3 June 2025

Last updated: 22 June 2025

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Journal articles on the topic "Generalized semi pseudo Ricci symmetric manifold"

1

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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2

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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3

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 type N or conformally flat. Moreover, we consider pseudo ? concircularly symmetric spacetime with Codazzi type of Ricci tensor and prove that the spacetime is of Petrov types I, D or O and the spacetime turns into a RW spacetime. Also, we establish that in a pseudo ? concircularly symmetric spacetime with harmonic ?-concircular curvature tensor, the semi-symmetric energy momentum tensor and Ricci semi-symmetry are equivalent. At last, we produce a non-trivial example to validate the existence of4 a (PCS) manifold.

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4

Shaikh, A. A., C. Özgür, and S. K. Jana. "On generalized pseudo Ricci symmetric manifolds admitting semi-symmetric metric connection." Proceedings of the Estonian Academy of Sciences 59, no. 3 (2010): 207. http://dx.doi.org/10.3176/proc.2010.3.03.

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5

Mofarreh, Fatemah, Krishnendu De та Uday De. "Characterizations of a spacetime admitting ψ-conformal curvature tensor". Filomat 37, № 30 (2023): 10265–74. http://dx.doi.org/10.2298/fil2330265m.

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In this paper, we introduce ?-conformal curvature tensor, a new tensor that generalizes the conformal curvature tensor. At first, we deduce a few fundamental geometrical properties of ?-conformal curvature tensor and pseudo ?-conharmonically symmetric manifolds and produce some interesting outcomes. Moreover, we study ?-conformally flat perfect fluid spacetimes. As a consequence, we establish a number of significant theorems about Minkowski spacetime, GRW-spacetime, projective collineation. Moreover, we show that if a?-conformally flat spacetime admits a Ricci bi-conformal vector field, then it is either conformally flat or of Petrov type N. At last, we consider pseudo?conformally symmetric spacetime admitting harmonic ?-conformal curvature tensor and prove that the semi-symmetric energy momentum tensor and Ricci semi-symmetry are equivalent and also, the Ricci collineation and matter collineation are equivalent.

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6

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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7

Praveena, M. M., and C. S. Bagewadi. "On generalized complex space forms satisfying certain curvature conditions." Carpathian Mathematical Publications 8, no. 2 (2016): 284–94. http://dx.doi.org/10.15330/cmp.8.2.284-294.

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We study Ricci soliton $(g,V,\lambda)$ of generalized complex space forms when the Riemannian, Bochner and $W_{2}$ curvature tensors satisfy certain curvature conditions like semi-symmetric, Einstein semi-symmetric, Ricci pseudo symmetric and Ricci generalized pseudo symmetric. In this study it is shown that shrinking, steady and expansion of the generalized complex space forms depends on the solenoidal property of vector $V$. Also we prove that generalized complex space form with conservative Bochner curvature tensor is constant scalar curvature.

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8

Wu, Tong, and Yong Wang. "Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions." Symmetry 13, no. 1 (2021): 79. http://dx.doi.org/10.3390/sym13010079.

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In this work, the cases of non-integrable distributions in a Riemannian manifold with the first generalized semi-symmetric non-metric connection and the second generalized semi-symmetric non-metric connection are discussed. We obtain the Gauss, Codazzi, and Ricci equations in both cases. Moreover, Chen’s inequalities are also obtained in both cases. Some new examples based on non-integrable distributions in a Riemannian manifold with generalized semi-symmetric non-metric connections are proposed.

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9

Prakasha, Doddabhadrappla Gowda, Nasser Bin Turki, Mathad Veerabhadraswamy Deepika та İnan Ünal. "On LP-Kenmotsu Manifold with Regard to Generalized Symmetric Metric Connection of Type (α, β)". Mathematics 12, № 18 (2024): 2915. http://dx.doi.org/10.3390/math12182915.

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In the current article, we examine Lorentzian para-Kenmotsu (shortly, LP-Kenmotsu) manifolds with regard to the generalized symmetric metric connection ∇G of type (α,β). First, we obtain the expressions for curvature tensor, Ricci tensor and scalar curvature of an LP-Kenmotsu manifold with regard to the connection ∇G. Next, we analyze LP-Kenmotsu manifolds equipped with the connection ∇G that are locally symmetric, Ricci semi-symmetric, and φ-Ricci symmetric and also demonstrated that in all these situations the manifold is an Einstein one with regard to the connection ∇G. Moreover, we obtain some conclusions about projectively flat, projectively semi-symmetric and φ-projectively flat LP-Kenmotsu manifolds concerning the connection ∇G along with several consequences through corollaries. Ultimately, we provide a 5-dimensional LP-Kenmotsu manifold example to validate the derived expressions.

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10

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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