2 papers
math.DG2021
Star-shaped Centrosymmetric Curves under Gage's Area-preserving Flow
Laiyuan Gao, Shengliang Pan
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 t…
math.DG2020
Evolving convex curves by a generalized length-preserving flow
Laiyuan Gao, Shengliang Pan
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…