Families of vector fields which generate the group of diffeomorphisms
Differential Geometry
2008-04-29 v1 Optimization and Control
Abstract
Given a compact manifold M, we prove that any bracket generating and invariant under multiplication on smooth functions family of vector fields on M generates the connected component of unit of the group Diff(M).
Keywords
Cite
@article{arxiv.0804.4403,
title = {Families of vector fields which generate the group of diffeomorphisms},
author = {Andrei Agrachev and Marco Caponigro},
journal= {arXiv preprint arXiv:0804.4403},
year = {2008}
}