SOME RESULTS ON K-CONTACT AND TRANS-SASAKIAN MANIFOLDS

S. Yadav*, P. K. Dwivedi, D. L. Suthar

Abstract


In this paper we study some properties of curvature tensor, projective curvature tensor with respect to semi-symmetric metric connection in a k-contact and trans-Sasakian manifold. Further we obtained necessary and sufficient condition for the Ricci tensor to be symmetric and skew-symmetric with respect to this connection .

Keywords


: k-contact manifold, trans-Sasakian manifold, semi-symmetric metric connection, projective curvature tensor.

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