Closed Geodesics on Compact Nilmanifolds with Chevalley Rational Structure

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dc.creatorDeCoste, Rachelle
dc.date2007-03-30
dc.date.accessioned2026-07-07T07:55:08Z
dc.date.available2026-07-07T07:55:08Z
dc.descriptionWe continue the study of the distribution of closed geodesics on nilmanifolds constructed from a simply connected 2-step nilpotent Lie group with a left invariant metric and a lattice. We consider a Lie group with an associated 2-step nilpotent Lie algebra constructed from an irreducible representation of a compact semisimple Lie algebra on a real finite dimensional vector space. We determine sufficient conditions on the semisimple Lie algebra for the nilmanifold to have the density of closed geodesics property for a lattice arising from a Chevalley rational structure.
dc.description39 pages, 3 tables
dc.identifierhttps://arxiv.org/abs/math/0703930
dc.identifierhttp://arxiv.org/abs/math/0703930
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126864
dc.subjectDifferential Geometry
dc.subject53C22
dc.titleClosed Geodesics on Compact Nilmanifolds with Chevalley Rational Structure
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