平面上保持常宽的两种保长度的闭凸曲线流
Closed-Convex Curvilinear Flows withTwo Kinds of Length Preserving ConstantWidth on the Plane
摘要: 本文主要研究了平面上两种保长度的闭凸曲线流，在这两种流下，如果初始闭凸曲线是广义的常宽曲线，那么在这两种流下发展，曲线仍然保持广义的常宽，并且宽度与初始曲线宽度相等。特别地，如果初始曲线是常宽曲线，那么在这两种流下曲线始终保持常宽，并且宽度与初始曲线宽度相等。
Abstract:
In this paper, we mainly study two kinds of length preserving closed convex curve flows on the plane. Under these two kinds of flows, if the initial closed convex curve is a generalized constant width curve, then the curve will still maintain a generalized constant width under these two kinds of flows, and the width is equal to the width of the initial curve. Especially, if the initial curve is a constant width curve, then the curve will always maintain a constant width under these two kinds of flows, and the width is equal to the width of the initial curve.
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