关于平面保面积曲率流的注记

A Note on Plane Area-Preseving Curvature Flow

利用平面曲线基本定理和议程参数化方法,证明了Gage是嵌入平面闭凸曲线的保面积曲率流方程等价于一个非线性微分—积分方程组的初值问题。

The plane curvature flow problem is an active field in geometry and geometry analysis. In this paper, that the area-preserving evolution equation for convex closed plane curves in Gage is equivalent to a nonlinear differentio-integral equations with initial value is proved.