Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866909787171586048 |
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| author | Cohen, Adam Rastogi, Yash Sottile, Samuel Zeytuncu, Yunus |
| author_facet | Cohen, Adam Rastogi, Yash Sottile, Samuel Zeytuncu, Yunus |
| contents | We prove a Weyl-type theorem for the Kohn Laplacian on sphere quotients as CR manifolds. We show that we can determine the fundamental group from the spectrum of the Kohn Laplacian in dimension three. Furthermore, we prove Sobolev estimates for the complex Green's operator on these quotient manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11463 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients Cohen, Adam Rastogi, Yash Sottile, Samuel Zeytuncu, Yunus Differential Geometry Complex Variables Spectral Theory Primary 32W10, 58J50, Secondary 32V20, 35P05, 58J53 We prove a Weyl-type theorem for the Kohn Laplacian on sphere quotients as CR manifolds. We show that we can determine the fundamental group from the spectrum of the Kohn Laplacian in dimension three. Furthermore, we prove Sobolev estimates for the complex Green's operator on these quotient manifolds. |
| title | Distribution of Eigenvalues of the Kohn Laplacian on Sphere Quotients |
| topic | Differential Geometry Complex Variables Spectral Theory Primary 32W10, 58J50, Secondary 32V20, 35P05, 58J53 |
| url | https://arxiv.org/abs/2509.11463 |