Payne-Pólya-Weinberger inequalities on closed Riemannian manifolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866910894463647744 |
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| author | Eddaoudi, Mehdi |
| author_facet | Eddaoudi, Mehdi |
| contents | Payne-Pólya-Weinberger inequalities are known to be exclusive to bounded Euclidean domains with Dirichlet boundary condition. In this paper, we discuss the corresponding inequalities on Riemannian manifolds of dimension $n \geq3$, and we prove explicit bounds in terms of geometric quantities such as scalar curvature, Yamabe constant, isoperimetric constant and conformal volume. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20181 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Payne-Pólya-Weinberger inequalities on closed Riemannian manifolds Eddaoudi, Mehdi Spectral Theory Mathematical Physics Differential Geometry Payne-Pólya-Weinberger inequalities are known to be exclusive to bounded Euclidean domains with Dirichlet boundary condition. In this paper, we discuss the corresponding inequalities on Riemannian manifolds of dimension $n \geq3$, and we prove explicit bounds in terms of geometric quantities such as scalar curvature, Yamabe constant, isoperimetric constant and conformal volume. |
| title | Payne-Pólya-Weinberger inequalities on closed Riemannian manifolds |
| topic | Spectral Theory Mathematical Physics Differential Geometry |
| url | https://arxiv.org/abs/2503.20181 |