Sub-Riemannian geometry : general theory and examples [E-Book] / Ovidiu Calin, Der-chen Chang.
Calin, Ovidiu, (author)
Chang, Der-chen E., (author)
Cambridge : Cambridge University Press, 2009
1 online resource (xiii, 370 pages)
englisch
9781139195966
9780521897303
Encyclopedia of mathematics and its applications ; volume 126
Full Text
Table of Contents:
  • Introductory chapter
  • Basic properties
  • Horizontal connectivity
  • Hamilton-Jacobi theory
  • The Hamiltonian formalism
  • Lagrangian formalism
  • Connections on Sub-Riemannian manifolds
  • Gauss' theory of Sub-Riemannian manifolds
  • Heisenberg manifolds
  • Examples of Heisenberg manifolds
  • Grushin manifolds
  • Hörmander manifolds
  • Appendices. Local nonsolvability ; Fiber bundles.