Unified Synthetic Ricci Curvature Lower Bounds for Riemannian and Sub-Riemannian Structures

AMERICAN MATHEMATICAL SOCIETYISBN: 9781470478063

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By Davide Barilari, Andrea Mondino, Luca Rizzi
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AMERICAN MATHEMATICAL SOCIETY
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PAPERBACK
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254 x 178 mm
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Pages:
147

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Description

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

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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