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Category: Issue 9

On the Weyl projective curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold

TEERATHRAM RAGHUWANSHI
Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)
SHRAVAN KUMAR PANDEY
Department of Mathematical Sciences, A.P.S. University, Rewa-486003, Madhya Pradesh (India)
MANOJ KUMAR PANDEY
Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)
ANIL GOYAL
Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)

ABSTRACT:

The objective of the present paper is to study the W2-curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold. It is shown that an SP-Sasakian manifold satisfying the conditions ܲ\simP ⋅W2\sim ܹ = 0 is an Einstein manifold and ܹW2\sim . ܲP\sim = 0 is a quasi Einstein manifold.

KEYWORDS: Projective semi-symmetric connection, SP-Sasakian manifold,, quasi-Einstein manifold,,


The objective of the present paper is to study the W2-curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold. It is shown that an SP-Sasakian manifold satisfying the...