Geometry of compact quasi-Einstein manifolds with boundary
Differential Geometry
2021-08-05 v3
Abstract
In this article, we study the geometry of compact quasi-Einstein manifolds with boundary. We establish sharp boundary estimates for compact quasi-Einstein manifolds with boundary that improve some previous results. Moreover, we obtain a characterization theorem for such manifolds in terms of the surface gravity of the boundary components, which leads to a new sharp geometric inequality. In addition, we prove a boundary estimate for compact quasi-Einstein manifolds with (possibly disconnected) boundary in terms of the Brown-York mass.
Keywords
Cite
@article{arxiv.2007.07678,
title = {Geometry of compact quasi-Einstein manifolds with boundary},
author = {Rafael Diógenes and Tiago Gadelha and Ernani Ribeiro},
journal= {arXiv preprint arXiv:2007.07678},
year = {2021}
}
Comments
To appear in Manuscripta Mathematica