Homogeneous pseudo-Riemannian structures of linear type

This article is partly a survey and partly a research paper on homogeneous pseudo-Riemannian structures of linear type. In the Riemannian case, these structures furnish characterisations of real, complex and quaternionic hyperbolic spaces. In the Lorentzian case, a related class gives characterisati...

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Bibliographic Details
Published in:Journal of geometry and physics 2011-03, Vol.61 (3), p.745-764
Main Authors: Batat, Wafaa, Gadea, Pedro M., Oubiña, José A.
Format: Article
Language:English
Subjects:
General relativity
Homogeneous pseudo-Kähler structures
Homogeneous pseudo-quaternionic Kähler structures
Homogeneous pseudo-Riemannian structures
Real and complex differential geometry
Singular homogeneous plane waves
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Summary:This article is partly a survey and partly a research paper on homogeneous pseudo-Riemannian structures of linear type. In the Riemannian case, these structures furnish characterisations of real, complex and quaternionic hyperbolic spaces. In the Lorentzian case, a related class gives characterisations of singular homogeneous plane waves.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2010.12.006