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Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 1

On f-Recurrent Kenmotsu Manifolds

Uday Chand DE, Ahmet YILDIZ, A. Funda YALINIZ

Pages
17–25
DOI
—

Abstract

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

Özet

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

Keywords: Kenmotsu manifolds, f-recurrent Kenmotsu manifolds, locally f-recurrent Kenmotsu manifolds.