Ricci solitons on singly warped product manifolds and applications

Abstract

The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifold is Ricci soliton then its factors are Ricci soliton. Then we study Ricci soliton on warped product manifolds admitting either a conformal vector field or a concurrent vector field. Finally, we study Ricci soliton on some warped product space-times.

References in corpus (4)

• On the construction of gradient Ricci soliton warped product
• Stability and instability of Ricci solitons
• $2-$Killing Vector Fields on Warped Product Manifolds
• Ricci-like solitons with vertical potential on Sasaki-like almost contact B-metric manifolds