Sub-Riemannian geometry: general theory and examples
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 i...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
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| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 126 |
| Links: | https://doi.org/10.1017/CBO9781139195966 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiii, 370 Seiten) |
| ISBN: | 9781139195966 |
Internformat
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| spelling | Calin, Ovidiu Sub-Riemannian geometry general theory and examples Ovidiu Calin, Der-chen Chang Cambridge Cambridge University Press 2009 1 Online-Ressource (xiii, 370 Seiten) txt c cr Encyclopedia of mathematics and its applications volume 126 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. Chang, Der-chen E. Erscheint auch als Druck-Ausgabe 9780521897303 |
| spellingShingle | Calin, Ovidiu Sub-Riemannian geometry general theory and examples |
| title | Sub-Riemannian geometry general theory and examples |
| title_auth | Sub-Riemannian geometry general theory and examples |
| title_exact_search | Sub-Riemannian geometry general theory and examples |
| title_full | Sub-Riemannian geometry general theory and examples Ovidiu Calin, Der-chen Chang |
| title_fullStr | Sub-Riemannian geometry general theory and examples Ovidiu Calin, Der-chen Chang |
| title_full_unstemmed | Sub-Riemannian geometry general theory and examples Ovidiu Calin, Der-chen Chang |
| title_short | Sub-Riemannian geometry |
| title_sort | sub riemannian geometry general theory and examples |
| title_sub | general theory and examples |
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