Classification of noncollapsed translators in ℝ4

Kyeongsu Choi, Robert Haslhofer, Or Hershkovits

Research output: Contribution to journalArticlepeer-review

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Abstract

In this paper, we classify all noncollapsed singularity models for the mean curvature flow of 3-dimensional hypersurfaces in ℝ4 or more generally in 4-manifolds. Specifically, we prove that every noncollapsed translating hypersurface in ℝ4 is either ℝ×2d-bowl, or a 3d round bowl, or belongs to the one-parameter family of 3d oval bowls constructed by Hoffman-Ilmanen-Martin-White.

Original languageAmerican English
Pages (from-to)563-698
Number of pages136
JournalCAMBRIDGE JOURNAL OF MATHEMATICS
Volume11
Issue number3
DOIs
StatePublished - 2023

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