Upper bounds for the second nonzero eigenvalue of the Laplacian via folding and conformal volume
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916567367811072 |
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| author | Eddaoudi, Mehdi Girouard, Alexandre |
| author_facet | Eddaoudi, Mehdi Girouard, Alexandre |
| contents | We prove an upper bound for the volume-normalized second nonzero eigenvalue of the Laplace operator on closed Riemannian manifold, in terms of the conformal volume. This bound provides effective upper bound for a large class of manifolds, thereby generalizing many known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08761 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Upper bounds for the second nonzero eigenvalue of the Laplacian via folding and conformal volume Eddaoudi, Mehdi Girouard, Alexandre Spectral Theory Differential Geometry 58C40 We prove an upper bound for the volume-normalized second nonzero eigenvalue of the Laplace operator on closed Riemannian manifold, in terms of the conformal volume. This bound provides effective upper bound for a large class of manifolds, thereby generalizing many known results. |
| title | Upper bounds for the second nonzero eigenvalue of the Laplacian via folding and conformal volume |
| topic | Spectral Theory Differential Geometry 58C40 |
| url | https://arxiv.org/abs/2501.08761 |