Certain Results on Ricci Solitons in α-Sasakian Manifolds

Abstract EN

We study Ricci solitons in α-Sasakian manifolds and show that it is a shrinking or expanding soliton and the manifold is Einstein with Killing vector field.

Further, we prove that if V is conformal Killilng vector field, then the Ricci soliton in 3-dimensional α-Sasakian manifolds is shrinking or expanding but cannot be steady.