Ricci solitons on singly warped product manifolds and applications
Differential Geometry
2023-04-06 v4
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.
Keywords
Cite
@article{arxiv.1508.02794,
title = {Ricci solitons on singly warped product manifolds and applications},
author = {Uday Chand De and Carlo Alberto Mantica and Sameh Shenawy and Bulent Unal},
journal= {arXiv preprint arXiv:1508.02794},
year = {2023}
}