Title: Controllability on the group of diffeomorphisms
Authors: A.A. Agrachev, M. Caponigro
Journal title: Annales de l'Institut Henri Poincare`- Analyse non lineaire
Year: 2009
Volume: 26
Pages: 2503-2509
Abstract:
Given a compact manifold 
, we prove that any bracket generating family of vector fields on , which is invariant under multiplication by smooth functions, generates the connected component of the identity of the group of diffeomorphisms of .
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