Collapsing ancient solutions of mean curvature flow

Theodora Bourni, Mat Langford, Giuseppe Tinaglia

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)187-219
Number of pages33
JournalJOURNAL OF DIFFERENTIAL GEOMETRY
Volume119
Issue number2
DOIs
Publication statusPublished - Oct 2021

Fingerprint

Dive into the research topics of 'Collapsing ancient solutions of mean curvature flow'. Together they form a unique fingerprint.

Cite this