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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 209

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.

.....

Download PDF 209 Click here to Subscribe now