| Autor: |
Diógenes, Rafael, Gonçalves, Jaciane, Ribeiro Jr, Ernani |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
In this article, we investigate some geometric inequalities for quasi-Einstein manifolds. We use the generalized Reilly's formulas by Qiu-Xia and Li-Xia to establish new boundary estimates and an isoperimetric type inequality for compact quasi-Einstein manifolds with boundary. Boundary estimates in terms of the first eigenvalue of the Jacobi operator and the Hawking mass are also established. In particular, we present a Heintze-Karcher type inequality for a compact domain on a quasi-Einstein manifold. |
| Databáze: |
arXiv |
| Externí odkaz: |
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