数学杂志2026，Vol.46Issue(3)：158-164,7.
利用球面弦弧估计研究一类曲线流
STUDYING A CLASS OF CURVE FLOWS ON THE SPHERE VIA CHORD-ARC ESTIMATES
摘要
Abstract
In this paper,we study the following curve shortening flow:Xt=k/KN.Using the spherical chord-arc estimate method,we obtain that any initially smooth embedded closed spherical curve evolving under this flow preserves the vanishing total geodesic curvature ∫xk,and eventually converges to a simple closed geodesic on the sphere.This provides a relatively concise proof for the extension of Gage's conjecture to the sphere.关键词
球面弦弧估计/曲线收缩流/测地线/收敛性Key words
Chord-arc estimate/curve shortening flow/geodesic/convergence分类
数理科学引用本文复制引用
赵玉玲..利用球面弦弧估计研究一类曲线流[J].数学杂志,2026,46(3):158-164,7.基金项目
贵州财经大学研究生科研项目基金资助(2025BAZYSY218),贵州省科技计划项目基金资助(黔科合基础MS(2026)071). （2025BAZYSY218）
