Dirac operators on the Fefferman spin spaces in almost CR-geometry

zbMath1427.53060MaRDI QIDQ2272799

Masayoshi Nagase

Publication date: 20 September 2019

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1563242422

zbMATH Keywords

spin structurecircle bundlecontact Riemannian manifoldTanno connection

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Almost contact and almost symplectic manifolds (53D15)

Related Items

Canonical Lorentzian spin structure and twistor spinors on the Fefferman space of a contact Riemannian manifold ⋮ Getzler's symbol calculus and the composition of differential operators on contact Riemannian manifolds ⋮ On the Tanno connection and the Chern-Moser connection in almost CR-geometry

Cites Work

• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Lorentzian twistor spinors and CR-geometry
• \(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds
• On the curvature of the Fefferman metric of contact Riemannian manifolds
• The Fefferman Metric and Pseudohermitian Invariants
• Variational Problems on Contact Riemannian Manifolds
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