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arXiv · 2007.07678

Geometry of compact quasi-Einstein manifolds with boundary

Rafael Diógenes·Tiago Gadelha·Ernani Ribeiro Jr
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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.

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Rafael Diógenes, Tiago Gadelha, Ernani Ribeiro Jr. 2020-07-15. Geometry of compact quasi-Einstein manifolds with boundary. https://arxiv.org/abs/2007.07678

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