The Grushin hemisphere as a Ricci limit space with curvature $\ge 1$
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909667569958912 |
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| author | Pan, Jiayin |
| author_facet | Pan, Jiayin |
| contents | The Grushin sphere is an almost-Riemannian manifold that degenerates along its equator. We construct a sequence of Riemannian metrics on a sphere $S^{m+n}$ with $Ric\ge 1$ such that its Gromov-Hausdorff limit is the $n$-dimensional Grushin hemisphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_02747 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Grushin hemisphere as a Ricci limit space with curvature $\ge 1$ Pan, Jiayin Differential Geometry Metric Geometry The Grushin sphere is an almost-Riemannian manifold that degenerates along its equator. We construct a sequence of Riemannian metrics on a sphere $S^{m+n}$ with $Ric\ge 1$ such that its Gromov-Hausdorff limit is the $n$-dimensional Grushin hemisphere. |
| title | The Grushin hemisphere as a Ricci limit space with curvature $\ge 1$ |
| topic | Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2211.02747 |