Hamilton type entropy formula along the Ricci flow on surfaces with boundary

2020/10/19 by Keita Kunikawa, Kunikawa, Keita, Yohei Sakurai +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations

paper · doi:10.48550/arxiv.2010.09179

openalex publication_date 2020/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we establish a monotonicity formula of Hamilton type entropy along Ricci flow on compact surfaces with boundary. We also study the relation between our entropy functional and the W-functional of Perelman type.

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