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Mathematics  2010 

Naturally reductive pseudo-Riemannian spaces

DOI: 10.1016/j.geomphys.2010.09.011

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Abstract:

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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