Parallel spinors on pseudo-Riemannian spinc manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:56

Article

Ikemakhen, Aziz

关键词: holonomy groups;    pseudo-Riemannian spin(c) manifolds;    parallel spinors;   

DOI  :  10.1016/j.geomphys.2005.07.005

来源: Elsevier

【 摘 要 】

We describe, by their holonomy groups, all simply connected irreducible non-locally symmetric pseudo-Riemannian spin(c) manifolds which admit parallel spinors. So we generalize the Riemannian spin(c) case [A. Moroianu, Parallel and killing spinors on spin(c) manifolds, Commun. Math. Phys. 187 (1997) 417-427] and the pseudo-Riemannian spin one [I]. (c) 2005 Elsevier B.V. All rights reserved.

【 授权许可】

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