Sub-Riemannian geometry : general theory and examples
Material type: TextSeries: Publication details: Cambridge New York Cambridge University Press 2009Description: xiii, 370 p. illISBN: 9780521897303 (hardback); 0521897300 (hardback)Subject(s): Geometry, Riemannian | Riemannian manifolds | Geodesics (Mathematics) | SubmanifoldsDDC classification: 516.373 Online resources: Not Available Summary: 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.Item type | Current library | Collection | Call number | Status | Date due | Barcode |
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BK | Stack | Stack | 516.373 CAL/S (Browse shelf (Opens below)) | Available | 59469 |
Series numbering from jacket.
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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