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arxiv: 0811.2083 · v1 · submitted 2008-11-13 · 🧮 math.DG · math.AP

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On a length preserving curve flow

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classification 🧮 math.DG math.AP
keywords curveflowevolvinglengthpreservingareaboundedc-infinity
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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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