Study of Generalized B-Curvature Tensor in Sasakian Manifold

Abstract

The objective of this paper is to study some curvature properties of generalized B-curvature tensor on Sasakian manifold. Here first, we describe certain vanishing properties of generalized B-curvature tensor on Sasakian manifold and obtained several interesting results. Next, we formulate φ − B semi-symmetric condition on Sasakian manifold. Again, we discussed the generalized B pseudo-symmetric condition on Sasakian manifold. We also characterized generalized B − φ− recurrent Sasakian manifold. Further, we deal with Sasakian manifold satisfying B((L, M)Q)P = 0, R(ξ, P)P = 0 condition. In the last section we derived an example which satisfies the theorem.