Conformal Ricci Solitons on 3-dimensional Trans-Sasakian Manifold

Abstract

In this paper we have studied and obtained results on Conformal Ricci solitons in 3-dimensional trans-Sasakian manifold M satisfying R(ξ,X).B = 0, B(ξ,X).S = 0, S(ξ,X).R = 0, R(ξ,X).P = 0 and P(ξ,X).S = 0, where B and P are C-Bochner and Pseudo-projective curvature tensor respectively.

Key words and phrases. Conformal Ricci soliton, trans-Sasakian manifold, α−Sasakian manifold.

1991 Mathematics Subject Classification. 53D15, 53A30, 53C25