A Note on Ricci Solitons with Some Potential Vector Field

Akshoy Patra

Abstract: The present paper deals with the study of some classes of Riemannian manifolds whose metric is Ricci soliton with concircular potential vector field and solenoidal vector field. If the manifold is super quasi-Einstein, then some interesting results are obtained.

Keywords: Ricci soliton, concircular potential vector field, concircular transformation, quasi-Einstein manifold, semi-symmetric connection