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arXiv 2017-05-19 0 views

A collapsing ancient solution of mean curvature flow in R³

Bourni, Theodora · Langford, Mat · Tinaglia, Giuseppe

Original · EN

We construct a compact, convex ancient solution of mean curvature flow in Rⁿ⁺¹ with O(1)× O(n) symmetry that lies in a slab of width π. 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 π and in no smaller slab.

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