Optimal Transport and Generalized Ricci Flow

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine