Sub-Riemannian Geometry: General Theory and Examples (Hardcover) (ISBN-13: 9780521897303)

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 in this context. The authors then present examples and applications, showing how Heisenberg manifolds (step 2 sub-Riemannian manifolds) might in the future play a role in quantum mechanics similar to the role played by the Riemannian manifolds in classical mechanics. Sub-Riemannian Geometry: General Theory and Examples is the perfect resource for graduate students and researchers in pure and applied mathematics, theoretical physics, control theory, and thermodynamics interested in the most recent developments in sub-Riemannian geometry.

Author: Ovidiu Calin, Der-Chen Chang
ISBN-10: 0521897300
ISBN-13: 9780521897303
Publisher: Cambridge University Press
Language: English
Published: 04/20/2009
Pages: 386
Format: Hardcover
Weight: 1.50lbs
Size: 9.20h x 6.40w x 1.20d