This volume contains the proceedings of the AMS-EMS-SMF Special Session on Sub-Riemannian Geometry and Interactions, held from July 18-20, 2022, at the Universite de Grenoble-Alpes, Grenoble, France.
Sub-Riemannian geometry is a generalization of Riemannian one, where a smooth metric is defined only on a preferred subset of tangent directions. Under the so-called Hormander condition, all points are connected by finite-length curves, giving rise to a well-defined metric space. Sub-Riemannian geometry is nowadays a lively branch of mathematics, connected with probability, harmonic and complex analysis, subelliptic PDEs, geometric measure theory, optimal transport, calculus of variations, and potential analysis.
The articles in this volume present some developments of a broad range of topics in sub-Riemannian geometry, including the theory of sub-elliptic operators, holonomy, spectral theory, and the geometry of the exponential map.
Edited by:
Fabrice Baudoin,
Luca Rizzi
Imprint: American Mathematical Society
Country of Publication: United States
Volume: 809
Dimensions:
Height: 254mm,
Width: 178mm,
ISBN: 9781470473013
ISBN 10: 1470473011
Series: Contemporary Mathematics
Pages: 146
Publication Date: 31 March 2025
Audience:
Professional and scholarly
,
Undergraduate
Format: Paperback
Publisher's Status: Active
Articles I. Beschastnyi, Lie groupoids for sub-elliptic operators Samuel Borza, Normal forms for the sub-Riemannian exponential map of $\mathbb {G}_\alpha $, $\operatorname {SU}(2)$, and $\operatorname {SL}(2)$ Fabrice Baudoin and Sylvie Vega-Molino, Holonomy of H-type Foliations Marco Carfagnini and Maria Gordina, Spectral gap bounds on H-type groups Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa and Eugenio Pozzoli, Embedding the Grushin cylinder in $\mathbf {R}^3$ and Schroedinger evolution Jeremy T. Tyson, Polar coordinates in Carnot groups II Fabrice Baudoin, Michel Bonnefont and Li Chen, Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck-type operators Marco Inversi and Giorgio Stefani, Lagrangian stability for a system of non-local continuity equations under Osgood condition
Fabrice Baudoin, Aarhus University, Denmark. Luca Rizzi, Scoula Internazionale Superiore di Studi Avanzati, Trieste, Italy.
