Sub-Riemannian geometry general theory and examples

Sub-Riemannian geometry general theory and examples

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Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference begins by introducing the theory of sub-Riemannian manifolds using a variational approach in which all properties are obtained from minimum principles, a robust method that is novel i...

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Bibliographische Detailangaben
1. Verfasser: Calin, Ovidiu (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Cambridge Cambridge University Press 2009
Schriftenreihe:Encyclopedia of mathematics and its applications volume 126
Schlagworte:
Geometry, Riemannian
Riemannian manifolds
Geodesics (Mathematics)
Submanifolds
Online-Zugang:DE-12
DE-92
URL des Erstveröffentlichers
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Inhaltsangabe:
  • 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

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