Non-collapsing of Ricci shrinkers with bounded curvature
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866917871975661568 |
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| author | Dong, Conghan Li, Yu |
| author_facet | Dong, Conghan Li, Yu |
| contents | We establish a uniform entropy bound for simply connected Ricci shrinkers with a finite second homotopy group and a uniform curvature bound. Additionally, we extend the non-collapsing result to a broader class of smooth metric measure spaces satisfying Bakry-Émery conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-collapsing of Ricci shrinkers with bounded curvature Dong, Conghan Li, Yu Differential Geometry We establish a uniform entropy bound for simply connected Ricci shrinkers with a finite second homotopy group and a uniform curvature bound. Additionally, we extend the non-collapsing result to a broader class of smooth metric measure spaces satisfying Bakry-Émery conditions. |
| title | Non-collapsing of Ricci shrinkers with bounded curvature |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.13546 |