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Eigenvalue estimates of the Kohn-Dirac operator on CR manifolds (2503.22450v1)
Published 28 Mar 2025 in math.DG
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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