Compact quasi-Einstein manifolds with boundary
Differential Geometry
2020-05-12 v2
Abstract
The goal of this article is to study compact quasi-Einstein manifolds with boundary. We provide boundary estimates for compact quasi-Einstein manifolds simi\-lar to previous results obtained for static and -static spaces. In addition, we show that compact quasi-Einstein manifolds with connected boundary and satisfying a suitable pinching condition must be isometric, up to scaling, to the standard hemisphere
Cite
@article{arxiv.1911.10068,
title = {Compact quasi-Einstein manifolds with boundary},
author = {Rafael Diógenes and Tiago Gadelha},
journal= {arXiv preprint arXiv:1911.10068},
year = {2020}
}
Comments
To appear in Mathematische Nachrichten