Symplectic, Hofer and sub-Riemannian geometry

Details Symplectic, Hofer and sub-Riemannian geometry Symplectic, Hofer and sub-Riemannian geometry

2002-01-12

arxiv.org/abs/math/0201107v1

Mathematics

Symplectic Geometry

Scientific paper

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.

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