Naturally reductive pseudo-Riemannian spaces
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🧮 math.DG
keywords
naturallyreductivepseudo-riemannianspacesad-invariantalgebrascharacterizeconstructed
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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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