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Four-dimensional naturally reductive pseudo-Riemannian spaces

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Batat, W. and Castrillón López, Marco and Rosado María,, E. (2015) Four-dimensional naturally reductive pseudo-Riemannian spaces. Differential Geometry and Its Applications, 41 . pp. 48-64. ISSN 0926-2245

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Official URL: http://www.sciencedirect.com/science/article/pii/S0926224515000662




Abstract

The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally reductive spaces with the real line and new families of indecomposable manifolds which are studied at the end of the article. The oscillator group is also analyzed from the point of view of this classification.


Item Type:Article
Uncontrolled Keywords:Homogeneous spaces; Naturally reductive; Pseudo-Riemannian spaces
Subjects:Sciences > Mathematics > Geometry
Sciences > Mathematics > Topology
ID Code:32654
Deposited On:28 Jul 2015 09:13
Last Modified:12 Dec 2018 15:12

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