2012/11/13 by Xian-Tao Huang, Huang, Xian-Tao
Mathematics · #53C44 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.DG #msc:53C44
paper · pdf · doi:10.48550/arxiv.1211.2879
15 pages, to appear in Communications in Analysis and Geometry
openalex publication_date 2012/11/13 · arxiv created 2014/01/20 · arxiv updated 2014/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we will give a new proof of the monotonicity of Wasserstein distances of two diffusions under super Ricci flow. Our proof is based on the coupling method of B.Andrew and J.Clutterbuck. The same method can also be applied to the contractivity of normalized L-Wasserstein distance under backward Ricci flow.