Journal
JOURNAL OF DIFFERENTIAL GEOMETRY
Volume 119, Issue 2, Pages 187-219Publisher
INT PRESS BOSTON, INC
DOI: 10.4310/jdg/1632506300
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Funding
- Alexander von Humboldt fellowship
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The paper presents a compact, convex ancient solution of mean curvature flow with specific symmetry, providing detailed asymptotics. It is shown to be the unique solution meeting certain criteria.
We construct a compact, convex ancient solution of mean curvature flow in Rn+1 with O(1) x O(n) symmetry that lies in a slab of width pi. We provide detailed asymptotics for this solution and show that, up to rigid motions, it is the only compact, convex, O(n)-invariant ancient solution that lies in a slab of width pi and in no smaller slab.
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