Naturally reductive pseudo-Riemannian spaces

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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Cited by in corpus (5)

• Naturally reductive pseudo-Riemannian Lie groups in low dimensions
• Free Nilpotent Lie Algebras Admitting Ad-Invariant Metrics
• Lie algebras with ad-invariant metrics. A survey
• Uniqueness of ad-invariant metrics
• Four-dimensional naturally reductive pseudo-Riemannian spaces