Scalar curvature rigidity of domains in a 3-dimensional warped product
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913721709756416 |
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| author | Chai, Xiaoxiang Wang, Gaoming |
| author_facet | Chai, Xiaoxiang Wang, Gaoming |
| contents | A warped product with a spherical factor and a logarithmically concave warping function satisfies a scalar curvature rigidity of the Llarull type. We develop a scalar curvature rigidity of the Llarull type for a general class of domains in a three dimensional spherical warped product. In the presence of rotational symmetry, we identify this class of domains as those satisfying a boundary condition analogous to the logarithmic concavity of the warping function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_04025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scalar curvature rigidity of domains in a 3-dimensional warped product Chai, Xiaoxiang Wang, Gaoming Differential Geometry 53C24, 49Q20 A warped product with a spherical factor and a logarithmically concave warping function satisfies a scalar curvature rigidity of the Llarull type. We develop a scalar curvature rigidity of the Llarull type for a general class of domains in a three dimensional spherical warped product. In the presence of rotational symmetry, we identify this class of domains as those satisfying a boundary condition analogous to the logarithmic concavity of the warping function. |
| title | Scalar curvature rigidity of domains in a 3-dimensional warped product |
| topic | Differential Geometry 53C24, 49Q20 |
| url | https://arxiv.org/abs/2503.04025 |