Invariant Dirac operators, harmonic spinors, and vanishing theorems in CR geometry

DOI10.3842/SIGMA.2021.011zbMath1464.32053arXiv2102.02477MaRDI QIDQ2023438

Felipe Leitner

Publication date: 3 May 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.02477

zbMATH Keywords

vanishing theoremsspin geometryCR geometryKohn-Rossi cohomologyharmonic spinorsKohn-Dirac operator

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) CR structures, CR operators, and generalizations (32V05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Kählerian twistor spinors
• Parallel spinors and basic holonomy in pseudo-Hermitian geometry
• Vanishing theorem for transverse Dirac operators on Riemannian foliations
• The Yamabe problem on CR manifolds
• Contact manifolds in Riemannian geometry
• Pseudo-hermitian structures on a real hypersurface
• On Kirchberg's inequality for compact Kähler manifolds of even complex dimension
• \(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds
• The first eigenvalue of the Kohn-Dirac operator on CR manifolds
• Harmonic spinors
• On the extension of holomorphic functions from the boundary of a complex manifold
• CR-tractors and the Fefferman space
• Psuedo-Einstein Structures on CR Manifolds
• Clifford and Spinor Cohomology of Kahler Manifolds
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• A Paneitz-type operator for CR pluriharmonic functions