On generalized M-projectively recurrent manifolds

Uday Chand De, Prajjwal Pal

Abstract


The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M-projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.

Keywords


generalized Ricci-recurrent manifolds; generalized M-projectively recurrent manifolds; quasi Einstein manifolds

Mathematics Subject Classification (2010)


53C25

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