Given a compact manifold M, we prove that any bracket generating family of vector fields on M, which is invariant under multiplication by smooth functions, generates the connected component of the identity of the group of dieomorphisms of M.
Controllability on the group of diffeomorphisms / Agrachev, A.; Caponigro, M.. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 26:6(2009), pp. 2503-2509. [10.1016/j.anihpc.2009.07.003]
Controllability on the group of diffeomorphisms
Agrachev, A.;
2009-01-01
Abstract
Given a compact manifold M, we prove that any bracket generating family of vector fields on M, which is invariant under multiplication by smooth functions, generates the connected component of the identity of the group of dieomorphisms of M.File in questo prodotto:
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