ON M-PROJECTIVE CURVATURE TENSOR OF PARA-KENMOTSU MANIFOLDS ADMITTING ZAMKOVOY CONNECTION
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 259
DOI: 10.56827/SEAJMMS.2022.1802.23
Author :
Swati Sharma (Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA)
Mayank Pandey (Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA)
Giteshwari Pandey (Department of Mathematics, Govt. Tulsi College, Anuppur - 484224, (M. P.), INDIA)
R. N. Singh (Department of Mathematics, A. P. S. University, Rewa - 486003, Madhya Pradesh, INDIA)
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 manifold, M-projective curvature tensor, Zamkovoy connection, Quasi M-projectively flat, $\phi -$ M-projectively flat, Bianchi's identity.
A.M.S. subject classification
53C15, 53D15.
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