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 ܲP ⋅W2
ܹ = 0 is an Einstein manifold and ܹW2
. ܲP
= 0 is a quasi Einstein manifold.
KEYWORDS: Projective semi-symmetric connection, SP-Sasakian manifold,, quasi-Einstein manifold,,
- DOI:
http://dx.doi.org/10.22147/jusps-A/320901
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