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.
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页码：11 / 22
页数：12
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