On M-Projective Curvature Tensor of Para-Kenmotsu Manifolds Admitting Zamkovoy Connection

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 φ-M-projectively flat paraKenmotsu manifolds admitting Zamkovoy connection have been studied. Also, para-Kenmotsu manifolds admitting Zamkovoy connction satisfying M¯ (ξ, U).R¯ = 0 and M¯ (ξ, U).S¯ = 0 have been developed