Kohn-Rossi cohomology of spherical CR manifolds
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913440840286208 |
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| author | Takeuchi, Yuya |
| author_facet | Takeuchi, Yuya |
| contents | We prove some vanishing theorems for the Kohn-Rossi cohomology of some spherical CR manifolds. To this end, we use a canonical contact form defined via the Patterson-Sullivan measure and Weitzenböck-type formulae for the Kohn Laplacian. We also see that our results are optimal in some cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_02696 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Kohn-Rossi cohomology of spherical CR manifolds Takeuchi, Yuya Differential Geometry Complex Variables 32V05, 22E40 We prove some vanishing theorems for the Kohn-Rossi cohomology of some spherical CR manifolds. To this end, we use a canonical contact form defined via the Patterson-Sullivan measure and Weitzenböck-type formulae for the Kohn Laplacian. We also see that our results are optimal in some cases. |
| title | Kohn-Rossi cohomology of spherical CR manifolds |
| topic | Differential Geometry Complex Variables 32V05, 22E40 |
| url | https://arxiv.org/abs/2309.02696 |