Closed Geodesics on Compact Nilmanifolds with Chevalley Rational Structure
Differential Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0703930,
title = {Closed Geodesics on Compact Nilmanifolds with Chevalley Rational Structure},
author = {Rachelle DeCoste},
journal= {arXiv preprint arXiv:math/0703930},
year = {2007}
}
Comments
39 pages, 3 tables