Optimal Transport and Generalized Ricci Flow

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2024
• Main Authors: Kopfer, Eva, Streets, Jeffrey
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2024
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/212120
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Optimal Transport and Generalized Ricci Flow. Eva Kopfer and Jeffrey Streets. SIGMA 20 (2024), 003, 15 pages

We prove results relating the theory of optimal transport and generalized Ricci flow. We define an adapted cost functional for measures using a solution of the associated dilaton flow. This determines a formal notion of geodesics in the space of measures, and we show geodesic convexity of an associa...