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

Laiyuan Gao; Shengliang Pan

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

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arxiv 2105.11930 v1 pith:HCQVTTPJ submitted 2021-05-25 math.DG math.AP

Laiyuan Gao , Shengliang Pan This is my paper · ORCID

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keywords area-preservingcentrosymmetricflowgagestar-shapedtimecircleconvex

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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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