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A rigidity theorem of ancient solutions to the mean curvature flow in codimension one

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arxiv 2412.08867 v1 pith:C6SPPXKE submitted 2024-12-12 math.DG

A rigidity theorem of ancient solutions to the mean curvature flow in codimension one

classification math.DG
keywords ancientcodimensioncurvatureflowmeanrigiditysolutionstheorem
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By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimension one. Moreover, we derive an optimal growth condition.

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