RICCI ALMOST SOLITONS ON RIEMANNIAN MANIFOLDS

The present paper deals with the study of Riemannian mani-folds whose metric is Ricci almost soliton with a conformal Killing vector field. We also study Ricci almost solitons on Riemannian manifolds with respect to semi-symmetric metric connection and obtain a necessary and sufficient condition of a Ricci almost soliton on Riemannian manifold with respect to semi-symmetric metric connection to be Ricci almost soliton on Riemannian manifold with respect to Levi-Civita connection.
1. INTRODUCTION In 1982, Hamilton [10] introduced the notion of Ricci flow to find a canonical metric on a smooth manifold. Then Ricci flow has become a powerful tool for [...]