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

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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