Two-dimensional metric spaces with curvature bounded above I
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929611964678144 |
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| author | Nagano, Koichi Shioya, Takashi Yamaguchi, Takao |
| author_facet | Nagano, Koichi Shioya, Takashi Yamaguchi, Takao |
| contents | We determine the local geometric structure of two-dimensional metric spaces with curvature bounded above as the union of finitely many properly embedded/branched immersed Lipschitz disks. As a result, we obtain a graph structure of the topological singular point set of such a singular surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_00623 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Two-dimensional metric spaces with curvature bounded above I Nagano, Koichi Shioya, Takashi Yamaguchi, Takao Metric Geometry Differential Geometry 53C20, 53C23 We determine the local geometric structure of two-dimensional metric spaces with curvature bounded above as the union of finitely many properly embedded/branched immersed Lipschitz disks. As a result, we obtain a graph structure of the topological singular point set of such a singular surface. |
| title | Two-dimensional metric spaces with curvature bounded above I |
| topic | Metric Geometry Differential Geometry 53C20, 53C23 |
| url | https://arxiv.org/abs/2102.00623 |