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math.DG2021
Self-shrinkers with bounded HA
Zhen Wang
We study integral and pointwise bounds on the second fundamental form of properly immersed self-shrinkers with boundedHA. As applications, we discuss gap and compactness results fo…
math.DG2021
A local estimate for the mean curvature flow
Zhen Wang
We establish a pointwise estimate of A along the mean curvature flow in terms of the initial geometry and the jHAj bound. As corollaries we obtain the extension theorem of HA and t…