A note on Ricci flow and optimal transportation

2009/07/21 by Simon Brendle, Brendle, S.
Mathematics · #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0907.3726

openalex publication_date 2009/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we describe a new link between Perelman's monotonicity formula for the reduced volume and ideas from optimal transport theory.

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