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Short geodesics for Ad invariant metrics in locally exponential Lie groups

Conference paper
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Part of the Trends in Mathematics book series (TM)

Abstract

We study the geodesic structure of Lie groups K that admit biinvariant metrics: the main results concern the fact that one-parameter groups are short paths for those metrics, as in the Riemannian case.

Keywords

Lie group Banach space Finsler metric bi-invariant metric geodesic one-parameter group isometry group unitary group 

Mathematics Subject Classification (2000)

Primary 22E65 58B20 Secondary 53C22 47B10 58D05 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto Argentino de Matemática, “Alberto P. Calder’n” (CONICET)Buenos AiresArgentina
  2. 2.Departamento de Matemática Facultad de Cs. Exactas y NaturalesUniversidad de Buenos Aires Ciudad Universitaria CABABuenos AiresArgentina

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