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  3. Sub-Riemannian Geometry
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2013
      April 2009
      ISBN:
      9781139195966
      9780521897303
      DOI:
      https://doi.org/10.1017/CBO9781139195966
      Dimensions:
      (234 x 156 mm)
      Weight & Pages:
      0.72kg, 386 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Physics and Astronomy, Theoretical Physics and Mathematical Physics, Geometry and Topology
      Series:
      Encyclopedia of Mathematics and its Applications (126)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Physics and Astronomy, Theoretical Physics and Mathematical Physics, Geometry and Topology
    Series:
    Encyclopedia of Mathematics and its Applications (126)
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    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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