Star-shaped Centrosymmetric Curves under Gage's Area-preserving Flow

Laiyuan Gao; Shengliang Pan

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arXiv · 2105.11930

Star-shaped Centrosymmetric Curves under Gage's Area-preserving Flow

Laiyuan Gao·Shengliang Pan

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Abstract

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 tends to infinity.

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Laiyuan Gao, Shengliang Pan. 2021-05-25. Star-shaped Centrosymmetric Curves under Gage's Area-preserving Flow. https://arxiv.org/abs/2105.11930

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