η-Ricci Solitons on Quasi-Sasakian Manifolds

Abstract

The object of the present paper is to study η-Ricci solitons in a 3-dimensional non-cosymplectic quasi-Sasakian manifolds. We study a particular type of second order parallel tensor in this manifold. Beside this we consider this manifold satisfying some curvature properties of Ricci tensor.

Keywords

• η-ricci soliton
• quasi-sasakian manifold
• codazzi-type ricci tensor
• cyclic parallel ricci tensor
• η-einstein manifold
• einstein manifold
• φ-ricci symmetric