TY - JOUR
T1 - Classification of noncollapsed translators in R4
AU - Choi, Kyeongsu
AU - Haslhofer, Robert
AU - Hershkovits, Or
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 Rx2d-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 Rx2d-bowl, or a 3d round bowl, or belongs to the one-parameter family of 3d oval bowls constructed by Hoffman-Ilmanen-Martin-White.
UR - https://www.math.utoronto.ca/roberth/papers/CHH_translator.pdf
UR - https://www.intlpress.com/site/pub/files/_fulltext/journals/cjm/2023/0011/0003/CJM-2023-0011-0003-a001.pdf
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SN - 2168-0930
VL - 11
SP - 563
EP - 698
JO - Cambridge Journal of Mathematics
JF - Cambridge Journal of Mathematics
IS - 3
ER -