Research Catalog

Title

Sub-Riemannian geometry : general theory and examples / Ovidiu Calin, Der-chen Chang.

Author

Calin, Ovidiu.

Publication

Cambridge ; New York : Cambridge University Press, 2009.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Chang, Der-chen E.

Description

xiii, 370 p. : ill.; 24 cm.

Summary

Sub-Riemannian manifolds are manifolds with the Heisenberg principle built inches 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.

Series Statement

Encyclopedia of mathematics and its applications ; [126]

Uniform Title

Encyclopedia of mathematics and its applications ; v. 126.

Subject

• Geodesics (Mathematics)
• Geometry, Riemannian
• Riemannian manifolds
• Submanifolds

Note

• Series numbering from jacket.

Bibliography (note)

• Includes bibliographical references (p. 363-366) and index.

Processing Action (note)

• committed to retain

ISBN

• 9780521897303 (hardback)
• 0521897300 (hardback)

LCCN

^^2009000653

Owning Institutions

Harvard Library