New Trends in Sub-Riemannian Geometry: 809 (Contemporary Mathematics) - Softcover

 
9781470473013: New Trends in Sub-Riemannian Geometry: 809 (Contemporary Mathematics)
Softcover
ISBN 10: 1470473011 ISBN 13: 9781470473013
Publisher: American Mathematical Society, 2025

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 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.

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About the Author

Fabrice Baudoin, Aarhus University, Denmark.

Luca Rizzi, Scoula Internazionale Superiore di Studi Avanzati, Trieste, Italy.

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2025
Language
English
ISBN 10 
1470473011
ISBN 13 
9781470473013
Binding
Paperback
Number of pages
146
Editor
Fabrice Baudoin, Luca Rizzi