Codimension 2 drawstrings with scalar curvature lower bounds
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915105177862144 |
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| author | Kazaras, Demetre Xu, Kai |
| author_facet | Kazaras, Demetre Xu, Kai |
| contents | We produce new examples of Riemannian manifolds with scalar curvature lower bounds and collapsing behavior along codimension 2 submanifolds. Applications of this construction are given, primarily on questions concerning the stability of scalar curvature rigidity phenomena, such as Llarull's Theorem and the Positive Mass Theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09149 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Codimension 2 drawstrings with scalar curvature lower bounds Kazaras, Demetre Xu, Kai Differential Geometry We produce new examples of Riemannian manifolds with scalar curvature lower bounds and collapsing behavior along codimension 2 submanifolds. Applications of this construction are given, primarily on questions concerning the stability of scalar curvature rigidity phenomena, such as Llarull's Theorem and the Positive Mass Theorem. |
| title | Codimension 2 drawstrings with scalar curvature lower bounds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.09149 |