On \phi-Recurrent Kenmotsu Manifolds

Authors: UDAY CHAND DE, AHMET YILDIZ, FUNDA YALINIZ

Abstract: The object of this paper is to study \phi-recurrent Kenmotsu manifolds. Also three-dimensional locally \phi-recurrent Kenmotsu manifolds have been considered. Among others it is proved that a locally \phi-recurrent Kenmotsu spacetime is the Robertson-Walker spacetime. Finally we give a concrete example of a three-dimensional Kenmotsu manifold.

Keywords: Kenmotsu manifolds, \phi-recurrent Kenmotsu manifolds, locally \phi-recurrent Kenmotsu manifolds.

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