ON $\alpha $-KENMOTSU MANIFOLDS SATISFYING SEMI-SYMMETRIC CONDITIONS

Year 2017, Volume: 5 Issue: 2, 192 - 206, 15.10.2017

Hakan Öztürk

Abstract

The main purpose of this paper is to study $\alpha $-Kenmotsu manifolds satisfying some semi-symmetric conditions where $\alpha $ is a smooth function defined by $d\alpha \wedge \eta =0$ on $M^{2n+1}.$ In particularly, projectively, conformally and concircularly semi-symmetric tensor fields are considered. The results related to the effects of semi-symmetric conditions are given. Finally, illustrating examples on $\alpha $-Kenmotsu manifolds depending on $\alpha $ are constructed.

Keywords

$\alpha $-Kenmotsu manifold, conformally flat, projectively flat

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