Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions

Brendle, Simon¹ ; Choi, Kyeongsu²

¹ Department of Mathematics, Columbia University, New York, NY, United States
² School of Mathematics, Korea Institute for Advanced Study, Seoul, South Korea

Geometry & topology, Tome 25 (2021) no. 5, pp. 2195-2234.

Résumé

We consider noncompact ancient solutions to the mean curvature flow in ${ℝ}^{n+1}$ ($n\ge 3$) which are strictly convex, uniformly two-convex, and noncollapsed. We prove that such an ancient solution is a rotationally symmetric translating soliton.

Détail

DOI : 10.2140/gt.2021.25.2195

Classification : 53C44
Keywords: mean curvature flow, ancient solution

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