TY  - BOOK
AU  - Calin,Ovidiu
AU  - Chang,Der-chen E
TI  - Sub-Riemannian geometry: general theory and examples 
T2  - Encyclopedia of mathematics and its applications
SN  - 9780521897303 (hardback)
U1  - 516.373 
PY  - 2009///
CY  - Cambridge , New York 
PB  - Cambridge University Press
KW  - Geometry, Riemannian
KW  - Riemannian manifolds
KW  - Geodesics (Mathematics)
KW  - Submanifolds
N1  - Series numbering from jacket
N2  - 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
UR  - http://www.loc.gov/catdir/toc/fy1001/2009000653.html
ER  -