On a length preserving curve flow

Details On a length preserving curve flow On a length preserving curve flow

2008-11-13

arxiv.org/abs/0811.2083v1

Mathematics

Differential Geometry

16 pages

Scientific paper

In this paper, we consider a new length preserving curve flow for convex
curves in the plane. We show that the global flow exists, the area of the
region bounded by the evolving curve is increasing, and the evolving curve
converges to the circle in C-infinity topology as t goes to infinity.

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