2 papers
math.DG2026
A fourth-order area-preserving curve flow in centro-equiaffine geometry
Xinjie Jiang, Shengliang Pan, Yanlong Zhang
In this paper, inspired by the work of Guan and Li (2015), we introduce a fourth-order centro-equiaffine invariant curve flow via the affine Minkowski formula. Without any smallnes…
math.DG2024
On length-preserving and area-preserving inverse curvature flow of planar curves with singularities
Yunlong Yang, Yanwen Zhao, Jianbo Fang +1
This paper aims to investigate the evolution problem for planar curves with singularities. Motivated by the inverse curvature flow introduced by Li and Wang (Calc. Var. Partial Dif…