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

Qun Chen; Hongbing Qiu

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arXiv · 2412.08867

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

Qun Chen·Hongbing Qiu

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Abstract

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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Qun Chen, Hongbing Qiu. 2024-12-12. A rigidity theorem of ancient solutions to the mean curvature flow in codimension one. https://arxiv.org/abs/2412.08867

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