000			01632nmm a2200217Ia 4500
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020			_a9781139195966
082			_a516.373 _bC129S
100			_aCalin, O. _eAuthor _lEnglish _91956
245		0	_aSub - Riemannian Geometry _b: General Theory and Examples _c/ by O. Calin and D. C. Chang. _h[Electronic Resource]
260			_aCambridge _b: Cambridge University Press, _c2009
300			_axiv, 370p.
440			_aEncyclopedia of Mathematics and its Applications _915761
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			_aGeometry _918
650			_aMathematical Physics _9878
650			_aTopology _9384
700			_aChang, D. C. _i[Author] _91958
856			_uhttps://doi.org/10.1017/CBO9781139195966 _qPDF _yClick to Access the Online Book
942			_cEBK _nYes
999			_c12272 _d12272