TY - JOUR
T1 - Classification of noncollapsed translators in ℝ4
AU - Choi, Kyeongsu
AU - Haslhofer, Robert
AU - Hershkovits, Or
N1 - Publisher Copyright:
© 2023, International Press, Inc.. All rights reserved.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85169926055&partnerID=8YFLogxK
U2 - 10.4310/CJM.2023.v11.n3.a1
DO - 10.4310/CJM.2023.v11.n3.a1
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AN - SCOPUS:85169926055
SN - 2168-0930
VL - 11
SP - 563
EP - 698
JO - Cambridge Journal of Mathematics
JF - Cambridge Journal of Mathematics
IS - 3
ER -