Attaching faces of positive scalar curvature manifolds with corners
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866929247001509888 |
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| author | Carlotto, Alessandro Li, Chao |
| author_facet | Carlotto, Alessandro Li, Chao |
| contents | We prove a novel desingularization theorem, that allows to smoothly attach two given manifolds with corners by suitably gluing a pair of isometric faces, with control on both the scalar curvature of the resulting space and the mean curvature of its boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_05409 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Attaching faces of positive scalar curvature manifolds with corners Carlotto, Alessandro Li, Chao Differential Geometry We prove a novel desingularization theorem, that allows to smoothly attach two given manifolds with corners by suitably gluing a pair of isometric faces, with control on both the scalar curvature of the resulting space and the mean curvature of its boundary. |
| title | Attaching faces of positive scalar curvature manifolds with corners |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2308.05409 |