Codazzi spinors and globally hyperbolic manifolds with special holonomy期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Codazzi spinors and globally hyperbolic manifolds with special holonomy

Authors:	Helga Baum Olaf Müller

Institution:	1.Institut für Mathematik,Humboldt-Universit?t Berlin,Berlin,Germany;2.Instituto de Matemáticas,Universidad Nacional Autónoma de México (UNAM) Campus Morelia,Morelia,Mexico

Abstract:	In this paper, we describe the structure of Riemannian manifolds with a special kind of Codazzi spinors. We use them to construct globally hyperbolic Lorentzian manifolds with complete Cauchy surface for any weakly irreducible holonomy representation with parallel spinors, t.m. with a holonomy group $G < imes \mathbb{R}^{n-2} \subset SO(1,n-1)$ , where $G \subset SO(n-2)$ is trivial or a product of groups SU(k), Sp(l), G ₂ or Spin (7).

Keywords:	Holonomy groups Parallel spinors Codazzi spinors Codazzi tensors Globally hyperbolic manifolds
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