On an area-preserving inverse curvature flow for plane curves
Differential Geometry
2025-07-31 v1
Abstract
In this paper, we study a -type area-preserving non-local flow of convex closed plane curves for any . We show that the flow exists globally, the length of evolving curve is non-increasing, and the limiting curve will be a circle in the metric as time .
Cite
@article{arxiv.2507.22366,
title = {On an area-preserving inverse curvature flow for plane curves},
author = {Zezhen Sun and Yuting Wu},
journal= {arXiv preprint arXiv:2507.22366},
year = {2025}
}