Ricci flow of discrete surfaces of revolution, and relation to constant Gaussian curvature

2023/12/13 by Naoya Suda, Suda, Naoya
Mathematics · Medicine · Physics and Astronomy · #(2020): 53A70 (Primary) 53E20 (Secondary) #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Ophthalmology and Eye Disorders

paper · pdf · doi:10.48550/arxiv.2312.08113

openalex publication_date 2023/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Giving explicit parametrizations of discrete constant Gaussian curvature surfaces of revolution that are defined from an integrable systems approach, we study Ricci flow for discrete surfaces, and see how discrete surfaces of revolution have a geometric realization for the Ricci flow that approaches the constant Gaussian curvature surfaces we have parametrized.

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