Analysis and geometry of metric measure spaces : lecture notes of the 50th Seminaire de Mathematiques Superieures (SMS), Montreal, 2011

Contributor(s): Dafni, Galia Devora | McCann, Robert John | Stancu, AlinaMaterial type: Computer fileComputer fileSeries: CRM Proceedings and Lecture Notes ; v. 56Description: 1 online resource (xv, 220 pages : illustrations)ISBN: 9781470415907 (online)Subject(s): differential geometric analysis on metric spaces | Differential geometry -- Global differential geometry -- Global geometric and topological methods (a la Gromov) | Geometry, Differential | Metric spacesOnline resources: Click here to access online
Contents:
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
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electronic book electronic book
Link to resource Accessible Online EBK20999
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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

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