The first eigenvalue of the Kohn-Dirac operator on CR manifolds

DOI10.1016/j.difgeo.2018.08.004zbMath1454.32026OpenAlexW2889424752WikidataQ115355059 ScholiaQ115355059MaRDI QIDQ1792431

Felipe Leitner

Publication date: 11 October 2018

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2018.08.004

zbMATH Keywords

Killing spinorsCR geometryWeitzenböck formulaspseudo-Hermitian geometrytwistor operatorsKohn-Dirac operator

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) CR structures, CR operators, and generalizations (32V05) Spectral theory; eigenvalue problems on manifolds (58C40) Analysis on CR manifolds (32V20)

Related Items (3)

Parallel spinors and basic holonomy in pseudo-Hermitian geometry ⋮ Invariant Dirac operators, harmonic spinors, and vanishing theorems in CR geometry ⋮ The spectral theorem for normal operators on a Clifford module

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