3 papers
math.DG2026
Classification of ancient ovals in higher dimensional mean curvature flow
Beomjun Choi, Wenkui Du, Ziyi Zhao
We study compact non-selfsimilar ancient noncollapsed solutions to the mean curvature flow in , called ancient ovals. Our main result is the classification of …
math.DG2025
Rigidity of ancient ovals in higher dimensional mean curvature flow
Beomjun Choi, Wenkui Du, Jingze Zhu
In this paper, we consider the classification of compact ancient noncollapsed mean curvature flows of hypersurfaces in arbitrary dimensions. More precisely, we study -ovals in $…
math.DG2024
Classification of bubble-sheet ovals in
Beomjun Choi, Panagiota Daskalopoulos, Wenkui Du +2
In this paper, we prove that any bubble-sheet oval for the mean curvature flow in , up to scaling and rigid motion, either is the -…