Naturally reductive pseudo-Riemannian spaces

Details Naturally reductive pseudo-Riemannian spaces Naturally reductive pseudo-Riemannian spaces

2010-07-27

arxiv.org/abs/1007.4695v2

J.Geom.Phys.61:157-171,2011

Mathematics

Differential Geometry

A shorter, clearer and more concise version

Scientific paper

10.1016/j.geomphys.2010.09.011

A family of naturally reductive pseudo-Riemannian spaces is constructed out
of the representations of Lie algebras with ad-invariant metrics. We exhibit
peculiar examples, study their geometry and characterize the corresponding
naturally reductive homogeneous structure.

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