Study of Ricci Soliton Structures on Concircularly ϕ-Recurrent Sasakian Manifolds

Abstract

Abstract. The object of this paper is to study some properties of Ricci soliton structures on concircularly ϕ-recurrent Sasakian manifolds. Initially, it is proved that a concircilarly ϕ - recurrent Sasakian manifold is an Einstein manifold and as a consequence of this, theWeyl conformal curvature tensor satifies W(ξ,X)Y = 0.
Further, the characerization of the vector field admitting Ricci and Riemann soliton have been studied. Additionally, the three-dimensional locally concircularly ϕ-recurrent Sasakian manifolds have been considered
with an example and also it has been shown that such a manifold admitting almost Ricci soliton reduces to Ricci soliton.