Sub-Riemannian Geometry: General Theory and Examples (Encyclopedia of Mathematics and its Applications, Series Number 126) - Hardcover

Calin, Ovidiu; Chang, Der-Chen

Hardcover

ISBN 10: 0521897300 ISBN 13: 9780521897303

Publisher: Cambridge University Press, 2009

Synopsis

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.

About this title

Book Description

Sub-Riemannian manifolds are manifolds with the Heisenberg principle built in. This comprehensive text and reference introduces the theory and applications of sub-Riemannian geometry for graduate students and researchers in pure and applied mathematics, theoretical physics, control theory, and thermodynamics. Potential applications include quantum mechanics and quantum field theory.

About the Author

Ovidiu Calin is an Associate Professor of Mathematics at Eastern Michigan University and a former Visiting Assistant Professor at the University of Notre Dame. He received his Ph.D. in geometric analysis from the University of Toronto in 2000. He has written several monographs and numerous research papers in the field of geometric analysis and has delivered research lectures in several universities in North America, Asia, the Middle East, and Eastern Europe.

Der-Chen Chang is Professor of Mathematics at Georgetown University. He is a previous Associate Professor at the University of Maryland and a Visiting Professor at the Academia Sinica, among other institutions. He received his Ph.D. in Fourier analysis from Princeton University in 1987 and has authored several monographs and numerous research papers in the field of geometric analysis, several complex variables, and Fourier analysis.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2009
• ISBN 10: 0521897300
• ISBN 13: 9780521897303
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 386