Compact quasi-Einstein manifolds with boundary
| Autor: | Diógenes, Rafael, Gadelha, Tiago |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $V$-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 $\mathbb{S}_{+}^{n}.$ Comment: To appear in Mathematische Nachrichten |
| Databáze: | arXiv |
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