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