Geometric inequalities for quasi-Einstein manifolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908427823874048 |
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| author | Diógenes, Rafael Gonçalves, Jaciane Ribeiro Jr, Ernani |
| author_facet | Diógenes, Rafael Gonçalves, Jaciane Ribeiro Jr, Ernani |
| contents | In this article, we investigate certain geometric inequalities on 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 compact domains in quasi-Einstein manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03284 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Geometric inequalities for quasi-Einstein manifolds Diógenes, Rafael Gonçalves, Jaciane Ribeiro Jr, Ernani Differential Geometry In this article, we investigate certain geometric inequalities on 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 compact domains in quasi-Einstein manifolds. |
| title | Geometric inequalities for quasi-Einstein manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.03284 |