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math.DG2017
A survey of closed self-shrinkers with symmetry
Gregory Drugan, Hojoo Lee, Xuan Hien Nguyen
In this paper, we survey known results on closed self-shrinkers for mean curvature flow and discuss techniques used in recent constructions of closed self-shrinkers with classical…
math.DG2017
Shrinking doughnuts via variational methods
Gregory Drugan, Xuan Hien Nguyen
We use variational methods and a modified curvature flow to give an alternative proof of the existence of a self-shrinking torus under mean curvature flow. As a consequence of the…