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arXiv · 2503.22450

Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds

Georges Habib·Felipe Leitner
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Abstract

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.

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Georges Habib, Felipe Leitner. 2025-03-28. Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds. https://arxiv.org/abs/2503.22450

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