Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Structures
Author:   Davide Barilari ,  Andrea Mondino ,  Luca Rizzi
Publisher:   American Mathematical Society
ISBN:  

9781470478063


Pages:   147
Publication Date:   28 February 2026
Format:   Paperback
Availability:   In Print   Availability explained
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Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Structures


Overview

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.

Full Product Details

Author:   Davide Barilari ,  Andrea Mondino ,  Luca Rizzi
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470478063


ISBN 10:   1470478064
Pages:   147
Publication Date:   28 February 2026
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

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Author Information

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

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