Gutierrez, Manuel and Mueller, Olaf (2016) Compact Lorentzian holonomy. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 48. pp. 11-22. ISSN 0926-2245, 1872-6984
Full text not available from this repository. (Request a copy)Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RIEMANNIAN-MANIFOLDS; SPACE; COMPLETENESS; DECOMPOSITION; BOUNDARY; METRICS; TIME; Lorentz manifolds; Globally hyperbolic space; Holonomy; C-k-fine topology |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 26 Apr 2019 12:58 |
| Last Modified: | 26 Apr 2019 12:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4264 |
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