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Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
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classification
math.DG
keywords
ancientconvexcurvatureflowmeansolutionsconsiderdimensions
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abstract
In this paper, we consider noncompact ancient solutions to the mean curvature flow in $\mathbb{R}^{n+1}$ ($n \geq 3$) which are strictly convex, uniformly two-convex, and noncollapsed. We prove that such an ancient solution is a rotationally symmetric translating soliton.
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