| 000 | 02637nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9781139195966 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160234.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 111109s2009||||enk o ||1 0|eng|d | ||
| 020 | _a9781139195966 (ebook) | ||
| 020 | _z9780521897303 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA649 _b.C27 2009 |
| 082 | 0 | 0 |
_a516.3/73 _222 |
| 100 | 1 |
_aCalin, Ovidiu, _eauthor. |
|
| 245 | 1 | 0 |
_aSub-Riemannian geometry : _bgeneral theory and examples / _cOvidiu Calin, Der-chen Chang. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2009. |
|
| 300 |
_a1 online resource (xiii, 370 pages) : _bdigital, PDF file(s). |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aEncyclopedia of mathematics and its applications ; _vvolume 126 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aIntroductory chapter -- Basic properties -- Horizontal connectivity -- Hamilton-Jacobi theory -- The Hamiltonian formalism -- Lagrangian formalism -- Connections on Sub-Riemannian manifolds -- Gauss' theory of Sub-Riemannian manifolds -- Heisenberg manifolds -- Examples of Heisenberg manifolds -- Grushin manifolds -- Hörmander manifolds -- Appendices. Local nonsolvability ; Fiber bundles. | |
| 520 | _aSub-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. | ||
| 650 | 0 | _aGeometry, Riemannian. | |
| 650 | 0 | _aRiemannian manifolds. | |
| 650 | 0 | _aGeodesics (Mathematics) | |
| 650 | 0 | _aSubmanifolds. | |
| 700 | 1 |
_aChang, Der-chen E., _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9780521897303 |
| 830 | 0 |
_aEncyclopedia of mathematics and its applications ; _vv. 126. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139195966 |
| 999 |
_c517858 _d517856 |
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