Symplectic, Hofer and sub-Riemannian geometry
Symplectic Geometry
2007-05-23 v1 Metric Geometry
Abstract
The purpose of this note is to make some connection between the sub-Riemannian geometry on Carnot-Caratheodory groups and symplectic geometry. We shall concentrate here on the Heisenberg group, although it is transparent that almost everything can be done on a general Carnot-Caratheodory group. Such generalisations will be the subject of a forthcoming note.
Keywords
Cite
@article{arxiv.math/0201107,
title = {Symplectic, Hofer and sub-Riemannian geometry},
author = {Marius Buliga},
journal= {arXiv preprint arXiv:math/0201107},
year = {2007}
}