Compact Lorentzian holonomy

被引：1

作者：

Gutierrez, Manuel ^{[1
]}

Mueller, Olaf ^{[2
]}

机构：

[1] Univ Malaga, Dept Algebra Geomtria & Topol, E-29071 Malaga, Spain

[2] Univ Regensburg, Fak Math, D-93040 Regensburg, Germany

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2016年 / 48卷

关键词：

Lorentz manifolds; Globally hyperbolic space; Holonomy; C-k-fine topology; RIEMANNIAN-MANIFOLDS; SPACE; COMPLETENESS; DECOMPOSITION; BOUNDARY; METRICS; TIME;

D O I：

10.1016/j.difgeo.2016.05.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider (compact or noncompact) Lorentzian manifolds whose holonomy group has compact closure. This property is equivalent to admitting a parallel timelike vector field. We give some applications and derive some properties of the space of all such metrics on a given manifold. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：11 / 22

页数：12

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