Small eigenvalues of pseudo-Laplacians
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908727709270016 |
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| author | Ballmann, Werner Mondal, Sugata Polymerakis, Panagiotis |
| author_facet | Ballmann, Werner Mondal, Sugata Polymerakis, Panagiotis |
| contents | We extend the Otal-Rosas bound on the number of small eigenvalues of the Laplacian on a hyperbolic surface to the small eigenvalues of pseudo-Laplacians. In the process, we extend the work of Colin de Verdière on the spectral theory of pseudo-Laplacians to hyperbolic surfaces with more than one cusp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19248 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Small eigenvalues of pseudo-Laplacians Ballmann, Werner Mondal, Sugata Polymerakis, Panagiotis Differential Geometry Spectral Theory 58J50, 35P15, 53C20 We extend the Otal-Rosas bound on the number of small eigenvalues of the Laplacian on a hyperbolic surface to the small eigenvalues of pseudo-Laplacians. In the process, we extend the work of Colin de Verdière on the spectral theory of pseudo-Laplacians to hyperbolic surfaces with more than one cusp. |
| title | Small eigenvalues of pseudo-Laplacians |
| topic | Differential Geometry Spectral Theory 58J50, 35P15, 53C20 |
| url | https://arxiv.org/abs/2512.19248 |