Scalar curvature rigidity of domains in a warped product
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911955159089152 |
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| author | Chai, Xiaoxiang Wan, Xueyuan |
| author_facet | Chai, Xiaoxiang Wan, Xueyuan |
| contents | By exploiting the conformality of a warped product metric with a direct product metric, we develop a new connection on a twisted spinor bundle and its associated Dirac operator. We obtain a Llarull type scalar curvature rigidity for a general class of domains in a warped product. Also, we are able to address Gromov dihedral rigidity in hyperbolic space assuming matching angles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10212 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scalar curvature rigidity of domains in a warped product Chai, Xiaoxiang Wan, Xueyuan Differential Geometry 53C24, 53C27, 53C21 By exploiting the conformality of a warped product metric with a direct product metric, we develop a new connection on a twisted spinor bundle and its associated Dirac operator. We obtain a Llarull type scalar curvature rigidity for a general class of domains in a warped product. Also, we are able to address Gromov dihedral rigidity in hyperbolic space assuming matching angles. |
| title | Scalar curvature rigidity of domains in a warped product |
| topic | Differential Geometry 53C24, 53C27, 53C21 |
| url | https://arxiv.org/abs/2407.10212 |