Analysis and geometry of metric measure spaces : lecture notes of the 50th Seminaire de Mathematiques Superieures (SMS), Montreal, 2011
- 1 online resource (xv, 220 pages : illustrations)
- CRM Proceedings and Lecture Notes, v. 56 2472-4890 .
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
9781470415907 (online)
differential geometric analysis on metric spaces.
Differential geometry -- Global differential geometry -- Global geometric and topological methods (a la Gromov)
Geometry, Differential
Metric spaces
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
9781470415907 (online)
differential geometric analysis on metric spaces.
Differential geometry -- Global differential geometry -- Global geometric and topological methods (a la Gromov)
Geometry, Differential
Metric spaces