TY  - DATA
AU  - Dafni, Galia Devora
AU  - McCann, Robert John
AU  - Stancu, Alina
TI  - Analysis and geometry of metric measure spaces: lecture notes of the 50th Seminaire de Mathematiques Superieures (SMS), Montreal, 2011 
T2  - CRM Proceedings and Lecture Notes, 
SN  - 9781470415907 (online)
KW  -  differential geometric analysis on metric spaces
KW  - Differential geometry -- Global differential geometry -- Global geometric and topological methods (a la Gromov)
KW  - Geometry, Differential
KW  - Metric spaces
N1  - Includes bibliographical references; An overview on calculus and heat flow in metric measure spaces and spaces with Riemannian curvature bounded from below ; Analysis on the Sierpinski carpet ; Heat kernel estimates, Sobolev-type inequalities and Riesz transform on noncompact Riemannian manifolds ; Regularity of minimal and almost minimal sets and cones: J. Taylor's theorem for beginners ; Lectures on Ma-Trudinger-Wang curvature and regularity of optimal transport maps ; Five lectures on optimal transportation: Geometry, regularity and applications ; A proof of Bobkov's spectral bound for convex domains via Gaussian fitting and free energy estimation ; A visual introduction to Riemannian curvatures and some discrete generalizations
UR  - http://www.ams.org/crmp/056
ER  -