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020 _a9781470415907 (online)
245 0 _aAnalysis and geometry of metric measure spaces :
_blecture notes of the 50th Seminaire de Mathematiques Superieures (SMS), Montreal, 2011
300 _a1 online resource (xv, 220 pages : illustrations)
490 _aCRM Proceedings and Lecture Notes,
_vv. 56
_x2472-4890
504 _aIncludes bibliographical references.
505 _tAn 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
650 _a differential geometric analysis on metric spaces.
650 _aDifferential geometry -- Global differential geometry -- Global geometric and topological methods (a la Gromov)
650 _aGeometry, Differential
650 _aMetric spaces
700 _aDafni, Galia Devora
700 _aMcCann, Robert John
700 _aStancu, Alina
856 _uhttp://www.ams.org/crmp/056
999 _c28412
_d28412