On \phi-Recurrent Kenmotsu Manifolds

Authors:
  • UDUday Chand DE
    Uday Chand DE
  • AYAhmet Yildiz
    Ahmet Yildiz
  • FYFunda Yaliniz
    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.