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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 18, Issue 2 Article
Research Article

ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION

S
Swati Sharma Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
M
Mayank Pandey Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
G
Giteshwari Pandey Department of Mathematics, Govt. Tulsi College, Anuppur - 484224, (M. P.), INDIA
R
R. N. Singh Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA
Volume 18, Issue 2 Pages 259-274 August 30, 2022 391 downloads
Article overview

Abstract

In this paper, relation between curvature tensors of Levi-Civita connection and Zamkovoy connection on para-Kenmotsu manifolds have been obtained.Quasi M-projectively flat, M-projectively flat and $\phi$-M-projectively flat para-Kenmotsu manifolds admitting Zamkovoy connection have been studied. Also, para-Kenmotsu manifolds admitting Zamkovoy connction satisfying $\bar{M}(\xi ,U).\bar{R}=0$ and $\bar{M}(\xi,U).\bar{S}=0$ have been developed.

Keywords and Phrases

Para-Kenmotsu manifoldM-projective curvature tensorZamkovoy connectionQuasi M-projectively flat$\phi -$ M-projectively flatBianchi's identity.

AMS Subject Classification

53C15, 53D15.

Reference information

How to Cite

Swati Sharma, Mayank Pandey, Giteshwari Pandey, R. N. Singh (2022). ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 259-274.
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