Short geodesics for Ad invariant metrics in locally exponential Lie groups
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.
KeywordsLie 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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