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

2024/12/12 by Chen, Qun, Qiu, Hongbing
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2412.08867

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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