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Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
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Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
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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.
Forward citations
Cited by 2 Pith papers
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Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow
Proves that rotationally and reflection symmetric compact noncollapsed ancient 3D Ricci flow solutions are either spheres or have unique asymptotics as t to -∞ with explicit description.
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Convex ancient solutions to mean curvature flow
An expository paper that presents and simplifies Wang's structure theory for convex ancient mean curvature flow solutions and shows rigidity results follow from it, including a new corollary.
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