On the first eigenvalue of the Hodge Laplacian of submanifolds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908998545965056 |
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| author | Onti, Christos-Raent |
| author_facet | Onti, Christos-Raent |
| contents | We prove that equality in a sharp lower bound for the first $p$-eigenvalue of the Hodge Laplacian on closed submanifolds in space forms can occur only on topological spheres, assuming positivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09038 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the first eigenvalue of the Hodge Laplacian of submanifolds Onti, Christos-Raent Differential Geometry 53C40, 53C42 We prove that equality in a sharp lower bound for the first $p$-eigenvalue of the Hodge Laplacian on closed submanifolds in space forms can occur only on topological spheres, assuming positivity. |
| title | On the first eigenvalue of the Hodge Laplacian of submanifolds |
| topic | Differential Geometry 53C40, 53C42 |
| url | https://arxiv.org/abs/2509.09038 |