Sub-Riemannian geometry general theory and examples
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...
| Otros Autores: | , |
|---|---|
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press
2009.
|
| Colección: | CUP ebooks.
Encyclopedia of mathematics and its applications ; volume 126. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b45433203*spi |
Tabla de Contenidos:
- 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.
