Calculus of Variations and Geometric Measure Theory

D. Barilari - U. Boscain - M. Sigalotti - (editors)

Dynamics, geometry and analysis on sub-Riemannian manifolds, vol. I and vol. II

created by barilari on 23 Jun 2016
modified on 22 Oct 2016


Lecture Notes

Inserted: 23 jun 2016
Last Updated: 22 oct 2016

Journal: EMS Series of Lectures in Mathematics
Year: 2016

These two volumes collecting different cycles of lectures given at the IHP Trimester “Geometry, Analysis and Dynamics on Sub-Riemannian Manifolds”, held at Institut Henri Poincaré in Paris, and the CIRM Summer School “SubRiemannian Manifolds: From Geodesics to Hypoelliptic Diffusion”, held at Centre Internationale de Rencontres Mathématiques, in Luminy, during fall 2014.

Links: link to vol. I, link to vol. II


The first volume contains the following contributions:

1. Francesco Serra Cassano - Some topics of geometric measure theory in Carnot groups

2. Nicola Garofalo - Hypoelliptic operators and some aspects of analysis and geometry of subRiemannian spaces

3. Fabrice Baudoin - Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations

The second volume contains the following contributions:

1. Andrei Agrachev, Davide Barilari, Ugo Boscain - Introduction to geodesics in sub-Riemannian geometry

2. Anton Thalmaier - Geometry of subelliptic diffusions

3. Peter Friz, Paul Gassiat - Geometric foundations of rough paths

4. Luigi Ambrosio, Roberta Ghezzi - Sobolev and bounded variation functions on metric measure spaces

5. Michail Zhitomirskii - Singularities of vector distributions