On generalized /-recurrent LP-Sasakian Manifolds

Document Type : Original Article

Authors

1 Department of Mathematics, University of Burdwan, Burdwan, 713 104 West Bengal, India

2 Department of Mathematics, Karnatak University, Dharwad, 580 003 Karnataka, India

Abstract

The object of the present paper was to introduce the notion of generalized /-recurrent
LP-Sasakian manifold and study its various geometric properties with the existence by an interesting
example. Among others it is shown that a generalized /-recurrent LP-Sasakian manifold is an Einstein manifold. Also it is proved that there exists no generalized projectively /-recurrent LP-Sasakian manifold.

Keywords