Geodesics in nilpotent Lie groups
Abstract
We study the geodesics problem in Heisenberg group H (case SR and riemannian). The sheaf of infinitesimal automorphisms of the (2n,2n+1) distribution D over H is an infinite, transitive Lie algebra sheaf.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- July 2005
- DOI:
- arXiv:
- arXiv:math/0507063
- Bibcode:
- 2005math......7063R
- Keywords:
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- Mathematics - Optimization and Control;
- Mathematics - Differential Geometry;
- Mathematics - Dynamical Systems;
- 93B29;
- 53A55
- E-Print:
- to appear in Proceeding of GAP 2007, Geometry and Physic Conference, Dakar (SN)