Star-shaped Centrosymmetric Curves under Gage's Area-preserving Flow
Differential Geometry
2021-05-26 v1 Analysis of PDEs
Abstract
It is proved that Gage's area-preserving flow can evolve a centrosymmetric star-shaped initial curve smoothly, make it convex in a finite time and deform it into a circle as time tends to infinity.
Keywords
Cite
@article{arxiv.2105.11930,
title = {Star-shaped Centrosymmetric Curves under Gage's Area-preserving Flow},
author = {Laiyuan Gao and Shengliang Pan},
journal= {arXiv preprint arXiv:2105.11930},
year = {2021}
}