Semiclassical eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909524871348224 |
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| author | Provenzano, Luigi Stubbe, Joachim |
| author_facet | Provenzano, Luigi Stubbe, Joachim |
| contents | We exploit an identity for the gradients of Laplacian eigenfunctions on compact homogeneous Riemannian manifolds with irreducible linear isotropy group to obtain asymptotically sharp universal eigenvalue inequalities and sharp Weyl bounds on Riesz means. The approach is non variational and is based on identities for spectral quantities in the form of sum rules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02716 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semiclassical eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds Provenzano, Luigi Stubbe, Joachim Spectral Theory 58C40, 58J50, 35P15, 35P20 We exploit an identity for the gradients of Laplacian eigenfunctions on compact homogeneous Riemannian manifolds with irreducible linear isotropy group to obtain asymptotically sharp universal eigenvalue inequalities and sharp Weyl bounds on Riesz means. The approach is non variational and is based on identities for spectral quantities in the form of sum rules. |
| title | Semiclassical eigenvalue bounds for compact homogeneous irreducible Riemannian manifolds |
| topic | Spectral Theory 58C40, 58J50, 35P15, 35P20 |
| url | https://arxiv.org/abs/2503.02716 |