Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916664951439360 |
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| author | Habib, Georges Leitner, Felipe |
| author_facet | Habib, Georges Leitner, Felipe |
| contents | In this paper, we establish a new eigenvalue estimate for the Kohn-Dirac operator on a compact CR manifold. The equality case of this estimate is characterized by the existence of a CR twistor spinor. We then classify CR manifolds carrying such spinors by showing that the Webster Ricci tensor has at most two eigenvalues. In this context, we construct several examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds Habib, Georges Leitner, Felipe Differential Geometry In this paper, we establish a new eigenvalue estimate for the Kohn-Dirac operator on a compact CR manifold. The equality case of this estimate is characterized by the existence of a CR twistor spinor. We then classify CR manifolds carrying such spinors by showing that the Webster Ricci tensor has at most two eigenvalues. In this context, we construct several examples. |
| title | Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.22450 |