Open Alexandrov spaces of nonnegative curvature
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909577141813248 |
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| author | Li, Xueping Rong, Xiaochun |
| author_facet | Li, Xueping Rong, Xiaochun |
| contents | Let $X$ be an open (i.e. complete, non-compact and without boundary) Alexandrov $n$-space of nonnegative curvature with a soul $S$. In this paper, we will establish several structural results on $X$ that can be viewed as counterparts of structural results on an open Riemannian manifold with nonnegative sectional curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_15174 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Open Alexandrov spaces of nonnegative curvature Li, Xueping Rong, Xiaochun Differential Geometry Let $X$ be an open (i.e. complete, non-compact and without boundary) Alexandrov $n$-space of nonnegative curvature with a soul $S$. In this paper, we will establish several structural results on $X$ that can be viewed as counterparts of structural results on an open Riemannian manifold with nonnegative sectional curvature. |
| title | Open Alexandrov spaces of nonnegative curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2311.15174 |