New Trends in Sub-Riemannian Geometry (Paperback)

Fabrice Baudoin

ISBN 10: 1470473011 / ISBN 13: 9781470473013

Published by American Mathematical Society, Providence, 2025

About this Item

Paperback. 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. Derived from a focused session in Grenoble, these proceedings explore sub-Riemannian geometryextending classical ideas by defining metrics on select tangent directions. They reveal fresh links with sub-elliptic operators, spectral theory, holonomy, and the intricacies of the exponential map. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781470473013

Bibliographic Details

• Title: New Trends in Sub-Riemannian Geometry (Paperback)
• Publisher: American Mathematical Society, Providence
• Publication Date: 2025
• Language: English
• ISBN 10: 1470473011
• ISBN 13: 9781470473013
• Binding: Paperback
• Condition: new

About this title

Synopsis

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 Université 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 Hörmander 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.