LEADER 02969nam 22005055a 450 001 9910153273203321 005 20160613234501.0 010 $a3-03719-662-9 024 70$a10.4171/162 035 $a(CKB)3710000000961080 035 $a(CH-001817-3)205-160613 035 $a(PPN)194344282 035 $a(EXLCZ)993710000000961080 100 $a20160613j20160630 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGeometry, Analysis and Dynamics on sub-Riemannian Manifolds$b[electronic resource] $eVolume I /$fDavide Barilari, Ugo Boscain, Mario Sigalotti 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2016 215 $a1 online resource (332 pages) 225 0 $aEMS Series of Lectures in Mathematics (ELM) ;$x2523-5176 311 $a3-03719-162-7 327 $tSome topics of geometric measure theory in Carnot groups /$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. 330 $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. 606 $aDifferential & Riemannian geometry$2bicssc 606 $aDifferential geometry$2msc 606 $aPartial differential equations$2msc 606 $aCalculus of variations and optimal control; optimization$2msc 606 $aProbability theory and stochastic processes$2msc 615 07$aDifferential & Riemannian geometry 615 07$aDifferential geometry 615 07$aPartial differential equations 615 07$aCalculus of variations and optimal control; optimization 615 07$aProbability theory and stochastic processes 686 $a53-xx$a35-xx$a49-xx$a60-xx$2msc 702 $aBarilari$b Davide 702 $aBoscain$b Ugo 702 $aSigalotti$b Mario 801 0$bch0018173 906 $aBOOK 912 $a9910153273203321 996 $aGeometry, Analysis and Dynamics on sub-Riemannian Manifolds$92565453 997 $aUNINA