Ricci solitons in N(K)-manifold

Recently, the present authors have introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformai curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor. The object of the present paper is to find out curvature conditions for Ricci solitons to be shrinking or steady or expanding. Key Words:N (k)-contact metric manifold; quasi-conformal like curvature tensor; Ricci solitons Shrinking, Steady and Expanding.
1 Introduction Recently, in tune with Yano and Sawaki [24], the first two authors [19] have introduced and studied generalized quasi-conformal curvature tensor W in the context of N(k, [mu])-manifold. [...]