Eigenvalue estimates on weighted manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866929391291858944 |
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| author | Branding, Volker Habib, Georges |
| author_facet | Branding, Volker Habib, Georges |
| contents | We derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and we provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for (f)-minimal hypersurfaces and the spectrum of the Hodge Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_06375 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Eigenvalue estimates on weighted manifolds Branding, Volker Habib, Georges Differential Geometry We derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and we provide a number of geometric applications. In particular, we derive an inequality which relates the eigenvalues of the Jacobi operator for (f)-minimal hypersurfaces and the spectrum of the Hodge Laplacian. |
| title | Eigenvalue estimates on weighted manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2201.06375 |