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math.DG2023★ 2 cited
Genus one singularities in mean curvature flow
Adrian Chun-Pong Chu, Ao Sun
We show that for certain one-parameter families of initial conditions in , when we run mean curvature flow, a genus one singularity must appear in one of the flows. Mo…
math.DG2023
On mean curvature flow translators with prescribed ends
Ao Sun, Zhihan Wang
Given a smooth closed embedded self-shrinker with index in , we construct an -dimensional family of complete translators polynomially asymptotic to $S\ti…