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Sub-Riemannian Geometry: General Theory and Examples

Ovidiu Calin and Der0Chen Chang
Publisher: 
Cambridge University Press
Publication Date: 
2009
Number of Pages: 
370
Format: 
Hardcover
Series: 
Encyclopedia of Mathematics and Its Applications 126
Price: 
99.00
ISBN: 
9780521897303
Category: 
Monograph
We do not plan to review this book.

 

Part I. General Theory: 1. Introductory chapter; 2. Basic properties; 3. Horizontal connectivity; 4. Hamilton-Jacobi theory; 5. Hamiltonian formalism; 6. Lagrangian formalism; 7. Connections on sub-Riemannian manifolds; 8. Gauss’ theory of sub-Riemannian manifolds; Part II. Examples and Applications: 9. Heisenberg manifolds; 10. Examples of Heisenberg manifolds; 11. Grushin manifolds; 12. Hormander manifolds. Appendix A: local non-solvability; Appendix B: fibre bundles.

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