02721nam a22004095a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084003600185245014800221260008200369300003400451336002600485337002600511338003600537347002400573490006100597505030900658506006600967520085001033650004701883650003101930650004001961650006602001650005302067700003102120700002702151700003102178856003202209856007002241205-160613CH-001817-320160613234501.0a fot ||| 0|cr nn mmmmamaa160613e20160630sz fot ||| 0|eng d a978303719662570a10.4171/1622doi ach0018173 7aPBMP2bicssc a53-xxa35-xxa49-xxa60-xx2msc10aGeometry, Analysis and Dynamics on sub-Riemannian Manifoldsh[electronic resource] :bVolume I /cDavide Barilari, Ugo Boscain, Mario Sigalotti3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2016 a1 online resource (332 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aEMS Series of Lectures in Mathematics (ELM) ;x2523-517600tSome 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.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php 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.07aDifferential & Riemannian geometry2bicssc07aDifferential geometry2msc07aPartial differential equations2msc07aCalculus of variations and optimal control; optimization2msc07aProbability theory and stochastic processes2msc1 aBarilari, Davide,eeditor.1 aBoscain, Ugo,eeditor.1 aSigalotti, Mario,eeditor.40uhttps://doi.org/10.4171/162423cover imageuhttps://www.ems-ph.org/img/books/barilari_I_mini.jpg