Homogeneous geodesics of left invariant Finsler metrics

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dc.creatorLatifi, Dariush
dc.date2007-11-28
dc.date.accessioned2026-07-07T08:45:49Z
dc.date.available2026-07-07T08:45:49Z
dc.descriptionIn this paper, we study the set of homogeneous geodesics of a leftinvariant Finsler metric on Lie groups. We first give a simple criterion that characterizes geodesic vectors. As an application, we study some geometric properties of bi-invariant Finsler metrics on Lie groups. In particular a necessary and sufficient condition that left-invariant Randers metrics are of Berwald type is given. Finally a correspondence of homogeneous geodesics to critical points of restricted Finsler metrics is given. Then results concerning the existence homogeneous geodesics are obtained.
dc.identifierhttps://arxiv.org/abs/0711.4480
dc.identifierhttp://arxiv.org/abs/0711.4480
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143085
dc.subjectDifferential Geometry
dc.subject53C60; 53C35; 53C30; 53C22
dc.titleHomogeneous geodesics of left invariant Finsler metrics
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