• RICCI SOLITONS IN 3-DIMENSIONAL ( , )-TRANS-SASAKIAN STRUCTURE

Shivaprasanna G.S.*; Y. B. Maralabhavi

• RICCI SOLITONS IN 3-DIMENSIONAL ( , )-TRANS-SASAKIAN STRUCTURE

Shivaprasanna G.S.*, Y. B. Maralabhavi

Abstract

In this paper we study Ricci solitons in a 3-dimensional ()-trans-Sasakian manifolds. We consider the Weyl conformal curvature tensor, the Pseudo-projective curvature tensor and Ricci-semi symmetric condition in a 3-dimensional ()-trans-Sasakian manifold admitting Ricci solitons and exhibit the conditions for the Ricci solitons to be shrinking, steady and expanding.

Keywords

( )Trans-Sasakian manifold, Ricci soliton, shrinking, steady, expanding, Pseudo-projective curvature tensor , Weyl conformal curvature tensor.

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