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  1. Home
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  3. Sub-Riemannian Geometry
  • Cited by 44
Publisher:
Cambridge University Press
Online publication date:
May 2013
Print publication year:
2009
Online ISBN:
9781139195966
DOI:
https://doi.org/10.1017/CBO9781139195966
Subjects:
Mathematics (general), Mathematics, Physics and Astronomy, Theoretical Physics and Mathematical Physics, Geometry and Topology
Series:
Encyclopedia of Mathematics and its Applications (126)
Information

Book description

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.

Reviews

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

Source: Zentralblatt MATH

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