Isometries of bi-invariant pseudo-Riemannian metrics on Lie groups

DOI10.1007/BF00147471zbMath0681.53027OpenAlexW2066507725MaRDI QIDQ1823481

Detlef Müller

Publication date: 1989

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00147471

zbMATH Keywords

Lie groupisometriesisotropy subgroupbi-invariant pseudo-Riemannian metricLevi-idealpre-automorphismtwo-sided translations

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (18)

The isometry groups of Lorentzian three-dimensional unimodular simply connected Lie groups ⋮ On the Lie triple derivations ⋮ Triple derivations and triple homomorphisms of perfect Lie superalgebras ⋮ Triple Derivations of Perfect Lie Algebras ⋮ Lie algebras admitting non-singular prederivations ⋮ A characterization of nilpotent Leibniz algebras ⋮ Some results on complete lie algebras^* ⋮ Naturally reductive pseudo-Riemannian spaces ⋮ Lorentzian compact manifolds: isometries and geodesics ⋮ On generalized Jordan prederivations and generalized prederivations of Lie superalgebras ⋮ Isometric actions on pseudo-Riemannian nilmanifolds ⋮ Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras ⋮ On the isometry groups of invariant Lorentzian metrics on the Heisenberg group ⋮ Complete Lie algebras ⋮ Classification of \(\big(\widetilde{\text{Sp}}(n,\mathbb{R})\times\widetilde{\text{Sp}}(1,\mathbb{R})\big )\)-manifolds ⋮ Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems ⋮ A Characterisation of Nilpotent Lie Algebras by Invertible Leibniz-Derivations ⋮ LIE ALGEBRA PREDERIVATIONS AND STRONGLY NILPOTENT LIE ALGEBRAS

This page was built for publication: Isometries of bi-invariant pseudo-Riemannian metrics on Lie groups