Evolving convex curves by a generalized length-preserving flow

2020/12/21 by Laiyuan Gao, Shengliang Pan, Gao, Laiyuan +1
Mathematics · #35K15 #35K59 #53A04 #53E10 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2012.11549

openalex publication_date 2020/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time tends to infinity.

Citations

• An isoperimetric inequality with applications to curve shortening

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