Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/86630
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Type: | Journal article |
Title: | Flat pseudo-Riemannian homogeneous spaces with non-abelian holonomy group |
Author: | Baues, O. Globke, W. |
Citation: | Proceedings of the American Mathematical Society, 2012; 140(7):2479-2488 |
Publisher: | American Mathematical Society |
Issue Date: | 2012 |
ISSN: | 0002-9939 1088-6826 |
Statement of Responsibility: | Oliver Baues and Wolfgang Globke |
Abstract: | We construct homogeneous flat pseudo-Riemannian manifolds with non-abelian fundamental group. In the compact case, all homogeneous flat pseudo-Riemannian manifolds are complete and have abelian linear holonomy group. To the contrary, we show that there do exist non-compact and non-complete examples, where the linear holonomy is non-abelian, starting in dimensions >/= 8, which is the lowest possible dimension. We also construct a complete flat pseudo-Riemannian homogeneous manifold of dimension 14 with non-abelian linear holonomy. Furthermore, we derive a criterion for the properness of the action of an affine transformation group with transitive centralizer. |
Rights: | © 2011 American Mathematical Society. Reverts to public domain 28 years from publication |
DOI: | 10.1090/S0002-9939-2011-11080-3 |
Published version: | http://dx.doi.org/10.1090/s0002-9939-2011-11080-3 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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RA_hdl_86630.pdf Restricted Access | Restricted Access | 149.14 kB | Adobe PDF | View/Open |
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