Naturally reductive pseudo-Riemannian spaces

Mathematics – Differential Geometry

Scientific paper

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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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