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math.DG2026
Sharp dynamical isoperimetric principle for mean curvature flow
Beomjun Choi, Wenkui Du, Seung Chul Park +1
In this paper, we establish a sharp dynamical isoperimetric principle for weak mean curvature flow. We prove that, among weak mean curvature flows with fixed area of initial smooth…
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 …