On M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds

Year 2016, Volume: 4 Issue: 4, 295 - 305, 31.12.2016

Prakasha Doddabhadrappla Gowda , Nagaraja Mahalingappa Kakasab Mirji

Abstract

Locally and globally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifolds are studied. We show that a globally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifold is globally ϕ-symmetric. Some observations for a 3-dimensional locally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifold are given. We also give an example of a 3-dimensional locally M-projectively ϕ-symmetric (ϵ)-Kenmotsu manifold.

Keywords

(ϵ)-Kenmotsu manifold, 3-dimensional (ϵ)-Kenmotsu manifolds, ϕ-symmetric, M-projective curvature tensor, Einstein manifold

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