TY  - BOOK
AU  - Barilari,Davide
AU  - Boscain,Ugo
AU  - Sigalotti,Mario
TI  - Geometry, Analysis and Dynamics on sub-Riemannian Manifolds: Volume I 
T2  - EMS Series of Lectures in Mathematics (ELM)
SN  - 9783037196625
PY  - 2016///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Differential & Riemannian geometry
KW  - bicssc
KW  - Differential geometry
KW  - msc
KW  - Partial differential equations
KW  - Calculus of variations and optimal control; optimization
KW  - Probability theory and stochastic processes
N1  - Some topics of geometric measure theory in Carnot groups; Francesco Serra Cassano --; Hypoelliptic operators and some aspects of analysis and geometry of sub-Riemannian spaces; Nicola Garofalo --; Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations; Fabrice Baudoin; Restricted to subscribers
N2  - Sub-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
UR  - https://doi.org/10.4171/162
UR  - http://www.ems-ph.org/img/books/barilari_I_mini.jpg
ER  -