Families of vector fields which generate the group of diffeomorphisms

DOI10.1134/S0081543810030107zbMath1213.58006OpenAlexW1992716440MaRDI QIDQ630207

Marco Caponigro

Publication date: 17 March 2011

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543810030107

zbMATH Keywords

vector fieldexponential mapgroup of diffeomorphisms

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Foliations in differential topology; geometric theory (57R30) Microbundles and block bundles in algebraic topology (55R60)

Cites Work

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• Control theory from the geometric viewpoint.
• The Formula of FAA Di Bruno
• The inverse function theorem of Nash and Moser
• Foliations and groups of diffeomorphisms
• Orbits of Families of Vector Fields and Integrability of Distributions
• A generic property of couples of vector fields