Sub-Riemannian Geometry: General Theory and Examples

ISBN-13: 9780521897303 / Angielski / Twarda / 2009 / 386 str.

Ovidiu Calin; Der-Chen Chang

Opis

A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.

Recenzje

'… the authors give many interesting examples and applications … this book will pose a good help to researchers and graduate students.' Zentralblatt MATH

Spis treści

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.