Compact gradient Einstein-type manifolds with boundary
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908728951832576 |
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| author | Freitas, Allan George de Carvalho Gomes, José Nazareno Vieira |
| author_facet | Freitas, Allan George de Carvalho Gomes, José Nazareno Vieira |
| contents | We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundaries. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_07827 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Compact gradient Einstein-type manifolds with boundary Freitas, Allan George de Carvalho Gomes, José Nazareno Vieira Differential Geometry Primary 53C25, Secondary 53C24 We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundaries. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area. |
| title | Compact gradient Einstein-type manifolds with boundary |
| topic | Differential Geometry Primary 53C25, Secondary 53C24 |
| url | https://arxiv.org/abs/2205.07827 |