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Sub-Riemannian Geometry : General Theory and Examples

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Title: Sub-Riemannian Geometry : General Theory and Examples
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.
Authors: Ovidiu Calin, Der-Chen Chang
Resource Type: eBook.
Subjects: Geodesics (Mathematics), Geometry, Riemannian, Riemannian manifolds, Submanifolds
Categories: MATHEMATICS / Geometry / Analytic
Database: eBook Collection (EBSCOhost)
FullText Links:
  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 569394
RelevancyScore: 1025
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
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  Label: Title
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  Data: Sub-Riemannian Geometry : General Theory and Examples
– Name: Abstract
  Label: Description
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  Data: 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.
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  Data: <searchLink fieldCode="AR" term="%22Ovidiu+Calin%22">Ovidiu Calin</searchLink><br /><searchLink fieldCode="AR" term="%22Der-Chen+Chang%22">Der-Chen Chang</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Geodesics+%28Mathematics%29%22">Geodesics (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%2C+Riemannian%22">Geometry, Riemannian</searchLink><br /><searchLink fieldCode="DE" term="%22Riemannian+manifolds%22">Riemannian manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22Submanifolds%22">Submanifolds</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516.373
        Scheme: ddc
        Type: prePub
      – Code: 516.373
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Geodesics (Mathematics)
        Type: general
      – SubjectFull: Geometry, Riemannian
        Type: general
      – SubjectFull: Riemannian manifolds
        Type: general
      – SubjectFull: Submanifolds
        Type: general
    Titles:
      – TitleFull: Sub-Riemannian Geometry : General Theory and Examples
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Ovidiu Calin
      – PersonEntity:
          Name:
            NameFull: Der-Chen Chang
      – PersonEntity:
          Name:
            NameFull: Ovidiu Calin
      – PersonEntity:
          Name:
            NameFull: Der-Chen Chang
    IsPartOfRelationships:
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2009
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521897303
            – Type: isbn-electronic
              Value: 9781107089839
          Numbering:
            – Type: volume
              Value: 00126
          Titles:
            – TitleFull: Sub-Riemannian Geometry : General Theory and Examples
              Type: main
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