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Strictly pseudoconvex spin manifolds, Fefferman spaces and Lorentzian twistor spinors (1997)
| Content Provider | CiteSeerX |
|---|---|
| Author | Baum, Helga |
| Abstract | We prove that there exist global solutions of the twistor equation on the Fefferman spaces of strictly pseudoconvex spin manifolds of arbitrary dimension and we study their properties. Contents 1 Introduction 1 2 Algebraic prelimeries 3 3 Lorentzian twistor spinors 5 4 Pseudo-hermitian geometry 11 5 Fefferman spaces 17 6 Spinor calculus for S 1 -bundles with isotropic fibre over strictly pseudoconvex spin manifolds 21 7 Twistor spinors on Fefferman spaces 30 1 Introduction In the present paper we study a relation between CR-geometry and the Lorentzian twistor equation. Besides the Dirac operator there is a second important conformally covariant differential operator acting on the spinor fields \Gamma(S) of a semi-Riemannian spin manifold (M; g), the so-called twistor operator D. The twistor operator is defined as the composition of the spinor derivative r S with the projection p onto the kernel of the Clifford multiplication ¯ D : \Gamma(S) r S \Gamma! \Gamma(T M\Omega ... |
| File Format | |
| Language | English |
| Publisher Date | 1997-01-01 |
| Access Restriction | Open |
| Subject Keyword | Pseudoconvex Spin Manifold Fefferman Space Lorentzian Twistor Spinors Gamma Gamma Global Solution Twistor Operator Pseudo-hermitian Geometry Isotropic Fibre Spinor Field Lorentzian Twistor Equation Algebraic Prelimeries Twistor Equation Spinor Derivative So-called Twistor Operator Dirac Operator Semi-riemannian Spin Manifold Arbitrary Dimension Spinor Calculus Twistor Spinors Clifford Multiplication Present Paper |
| Content Type | Text |
| Resource Type | Technical Report |
