Lorentzian twistor spinors and CR-geometry

DOI10.1016/S0926-2245(99)00020-0zbMath0930.53033arXivmath/9803090OpenAlexW1983557533WikidataQ115337419 ScholiaQ115337419MaRDI QIDQ1303774

Helga Baum

Publication date: 22 September 1999

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

Full work available at URL: https://arxiv.org/abs/math/9803090

zbMATH Keywords

twistor spinorsLorentzian manifoldsCR-geometrytwistor equationFefferman spaces

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Spin and Spin({}^c) geometry (53C27) Twistor methods in differential geometry (53C28) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Analysis on CR manifolds (32V20)

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Cites Work

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• Integrability conditions for Killing spinors
• The twistor equation of Riemannian manifolds
• An intrinsic construction of Fefferman's CR metric
• An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
• The Yamabe problem on CR manifolds
• Killing spinors, twistor-spinors and Hijazi inequality
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Pseudo-hermitian structures on a real hypersurface
• Distinguished curves in pseudo-convex boundaries
• Asymptotically Euclidean manifolds and twistor spinors
• Killing spinors are Killing vector fields in Riemannian supergeometry
• Twistor spinors and their zeroes
• Generalized pure spinors
• Conformal completion of \(\mathbb{U}(n)\)-invariant Ricci-flat Kähler metrics at infinity
• Twistor spinors on conformally flat manifolds
• On the twistor-spinors
• Harmonic spinors
• Eigenvalue estimates for Dirac operators coupled to instantons
• The graded algebra and the derivative \(\overline {\mathcal L}\) of spinor fields related to the twistor equation
• Twistor spinors and gravitational instantons
• Twistor equation in a curved spacetime
• The Fefferman Metric and Pseudohermitian Invariants
• Chains on CR Manifolds and Lorentz Geometry
• On Sparling's Characterization of Fefferman Metrics
• Theory of massive particles I. Algebraic structure
• Self-duality in four-dimensional Riemannian geometry
• TWISTOR SPINORS WITH ZEROS
• Twistor Algebra