Twistor Spinors on Lorentzian Manifolds, Cr-geometry and Feeerman Spaces
نویسنده
چکیده
The paper deals with twistor spinors on Lorentzian manifolds. In particular , we explain a relation between a certain class of Lorentzian twistor spinors and the Feeerman spaces of strictly pseudoconvex spin manifolds which appear in CR-geometry. Let (M n;k ; g) be a n-dimensional smooth semi-Riemannian spin manifold of index k with the spinor bundle S. There are two conformally covariant differential operators of rst order acting on the spinor elds ?(S), the Dirac operator D and the twistor operator D. The Dirac operator is deened as the composition of the spinor derivative r S with the Cliiord multiplication
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Strictly Pseudoconvex Spin Manifolds, Feeerman Spaces and Lorentzian Twistor Spinors
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