New trends in sub-Riemannian geometry : AMS-EMS-SMF Special Session, Sub-Riemannian Geometry and Interactions, July 18-22, 2022, Université de Grenoble-Alpes, Grenoble, France / Fabrice Baudoin, Luca Rizzi, editors.

Format:

• Book
• Conference/Event

Contributor:

• Baudoin, Fabrice, editor.
• Rizzi, L. (Luca), 1984- editor.

Conference Name:

• AMS-SMF-EMS Special Session on Sub-Riemannian Geometry and Interactions (2022 : Grenoble, France), author.

Series:

• Contemporary mathematics (American Mathematical Society) ; v. 809.
• Contemporary mathematics, 0271-4132 ; volume 809.

Language:

English

Subjects (All):

• Geometry, Riemannian.
• Global Riemannian geometry.
• Differential equations, Partial.

Genre:

• Conference papers and proceedings.

Physical Description:

ix, 134 pages : illustrations ; 26 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2025]

Summary:

"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"--Page 4 of cover.

Notes:

Includes bibliographical references.

Other Format:

Online version:

ISBN:

• 9781470473013
• 1470473011

OCLC:

1477767392