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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References in corpus (3)

• Homogeneous geodesics in homogeneous Finsler spaces
• Lorentzian homogeneous spaces admitting a homogeneous structure of type T1+T3
• Lorentzian symmetric spaces in supergravity