Closed Geodesics on Compact Nilmanifolds with Chevalley Rational Structure

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We 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.
39 pages, 3 tables

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Differential Geometry, 53C22

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http://salesiana.dossiersoluciones.com/handle/123456789/126864

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703930
 http://arxiv.org/abs/math/0703930

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arXiv