Twistor spinors on Lorentzian symmetric spaces

JOURNAL OF GEOMETRY AND PHYSICS

卷:34

Article

Baum, H

关键词: twistor equation;    parallel spinors;    Lorentzian geometry;    Lorentzian symmetric spaces;    spinors and twistors;   

DOI  :  10.1016/S0393-0440(99)00069-8

来源: Elsevier

【 摘 要 】

An indecomposable Riemannian symmetric space which admits non-trivial twister spinors has constant sectional curvature. Furthermore. each homogeneous Riemannian manifold with parallel spinors is hat. In the present paper we solve the twister equation on all indecomposable Lorentzian symmetric spaces explicitly. In particular, we show that there are - in contrast to the Riemannian case - indecomposable Lorentzian symmetric spaces with twister spinors, which have non-constant sectional curvature and non-flat and non-Ricci hat homogeneous Lorentzian manifolds with parallel spinors. (C) 2000 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free