Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Structures
Published on 28. February 2026
Book
Paperback/Softback
147 pages
978-1-4704-7806-3 (ISBN)
Description
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7806-3 (9781470478063)
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Schweitzer Classification
Persons
Davide Barilari, Universita di Padova, Italy.
Andrea Mondino, University of Oxford, England, United Kingdom.
Luca Rizzi, International School for Adbanced Studies, Trieste, Italy, and University Grenoble Alpes, France
Andrea Mondino, University of Oxford, England, United Kingdom.
Luca Rizzi, International School for Adbanced Studies, Trieste, Italy, and University Grenoble Alpes, France
Content
Chapters;
Table of notations;
1. Introduction;
2. Synthetic Ricci curvature lower bounds for gauge spaces;
3. Geometric consequences;
4. Stability and compactness;
5. Vector-valued gauge functions;
6. Natural gauge functions;
7. Sub-Riemannian comparison theory;
8. Curvature estimates for fat sub-Riemannian structures;
9. Examples and applications; A. Sub-Riemannian geometry; B. Canonical curvature
Table of notations;
1. Introduction;
2. Synthetic Ricci curvature lower bounds for gauge spaces;
3. Geometric consequences;
4. Stability and compactness;
5. Vector-valued gauge functions;
6. Natural gauge functions;
7. Sub-Riemannian comparison theory;
8. Curvature estimates for fat sub-Riemannian structures;
9. Examples and applications; A. Sub-Riemannian geometry; B. Canonical curvature