New Trends in Sub-Riemannian Geometry

Fabrice Baudoin, Luca Rizzi

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English

American Mathematical Society
19 February 2025

Geometry; Topology

Series: Contemporary Mathematics

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: 19 February 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Fabrice Baudoin, Aarhus University, Denmark. Luca Rizzi, Scoula Internazionale Superiore di Studi Avanzati, Trieste, Italy.