Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914115618865152 |
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| author | Kajigaya, Toru Kunikawa, Keita |
| author_facet | Kajigaya, Toru Kunikawa, Keita |
| contents | We show that the Morse index of unstable closed minimal hypersurface $Σ$ in a compact semi-simple Riemannian symmetric space $M=G/K$ is bounded from below by constant times the first Betti number of $Σ$. Our proof is based on a natural extension of the previous method and this also provides a novel approach for the index estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11585 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces Kajigaya, Toru Kunikawa, Keita Differential Geometry We show that the Morse index of unstable closed minimal hypersurface $Σ$ in a compact semi-simple Riemannian symmetric space $M=G/K$ is bounded from below by constant times the first Betti number of $Σ$. Our proof is based on a natural extension of the previous method and this also provides a novel approach for the index estimate. |
| title | Index estimate by first Betti number of minimal hypersurfaces in compact symmetric spaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2410.11585 |