On the construction of complete expanding gradient Rici solitons
Differential Geometry
2020-04-13 v1
Abstract
We study gradient Ricci solitons warped products whose base is the Euclidean space. We show that the warping functions of these manifolds are invariant under the (n-1)-dimensional translation group. We characterize the potential function when the torsion function depends only on one variable, which is a particular case of invariance by translation. From this study, we derive complete examples of expanding gradient Ricci solitons.
Keywords
Cite
@article{arxiv.2004.05053,
title = {On the construction of complete expanding gradient Rici solitons},
author = {Marcio de Sousa and Paula Bonfim and Romildo Pina and Tiberio Martins},
journal= {arXiv preprint arXiv:2004.05053},
year = {2020}
}
Comments
In this work we build several examples of complete examples of expanding gradient Ricci solitons