The Orbit Theorem and its Applications

  • Andrei A. Agrachev
  • Yuri L. Sachkov
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 87)


Let F ⊂ Vec M be any set of smooth vector fields. In order to simplify notation, we assume that all fields from F are complete. Actually, all further definitions and results have clear generalizations to the case of noncomplete fields; we leave them to the reader.


Vector Field Tangent Space Smooth Manifold Linear Isomorphism Topology Base 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Andrei A. Agrachev
    • 1
  • Yuri L. Sachkov
    • 2
  1. 1.SISSA-ISASTriesteItaly
  2. 2.Program Systems InstitutePereslavl-ZalesskyRussia

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