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020 _a9783037196625
024 7 0 _a10.4171/162
_2doi
040 _ach0018173
072 7 _aPBMP
_2bicssc
084 _a53-xx
_a35-xx
_a49-xx
_a60-xx
_2msc
245 1 0 _aGeometry, Analysis and Dynamics on sub-Riemannian Manifolds
_h[electronic resource] :
_bVolume I /
_cDavide Barilari, Ugo Boscain, Mario Sigalotti
260 3 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2016
264 1 _aZuerich, Switzerland :
_bEuropean Mathematical Society Publishing House,
_c2016
300 _a1 online resource (332 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aEMS Series of Lectures in Mathematics (ELM)
505 0 0 _tSome topics of geometric measure theory in Carnot groups /
_rFrancesco Serra Cassano --
_tHypoelliptic operators and some aspects of analysis and geometry of sub-Riemannian spaces /
_rNicola Garofalo --
_tSub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations /
_rFabrice Baudoin.
506 1 _aRestricted to subscribers:
_uhttp://www.ems-ph.org/ebooks.php
520 _aSub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed along a limited set of directions, which are prescribed by the physical problem. From the theoretical point of view, sub-Riemannian geometry is the geometry underlying the theory of hypoelliptic operators and degenerate diffusions on manifolds. In the last twenty years, sub-Riemannian geometry has emerged as an independent research domain, with extremely rich motivations and ramifications in several parts of pure and applied mathematics, such as geometric analysis, geometric measure theory, stochastic calculus and evolution equations together with applications in mechanics, optimal control and biology. The aim of the lectures collected here is to present sub-Riemannian structures for the use of both researchers and graduate students.
650 0 7 _aDifferential & Riemannian geometry
_2bicssc
650 0 7 _aDifferential geometry
_2msc
650 0 7 _aPartial differential equations
_2msc
650 0 7 _aCalculus of variations and optimal control; optimization
_2msc
650 0 7 _aProbability theory and stochastic processes
_2msc
700 1 _aBarilari, Davide,
_eeditor.
700 1 _aBoscain, Ugo,
_eeditor.
700 1 _aSigalotti, Mario,
_eeditor.
856 4 0 _uhttps://doi.org/10.4171/162
856 4 2 _3cover image
_uhttp://www.ems-ph.org/img/books/barilari_I_mini.jpg
942 _2EBK13873
_cEBK
999 _c50497
_d50497