Rigidity results for Riemann solitons
Differential Geometry
2022-08-18 v1
Abstract
In this paper we take a look at conditions that make a Riemann soliton trivial, compacity being one of them. We also show that the behaviour at infinity of the gradient field of a non-compact gradient Riemann soliton might cause the soliton to be an Einstein manifold. Finally, we obtain scalar curvature estimates for complete shrinking or steady gradient Riemann solitons whose scalar curvature is bounded from below at infinity.
Cite
@article{arxiv.2208.07962,
title = {Rigidity results for Riemann solitons},
author = {Tokura Willian and Barboza Marcelo and Batista Elismar and Menezes Ilton},
journal= {arXiv preprint arXiv:2208.07962},
year = {2022}
}