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math.DG2017★ 1 cited
On the topological rigidity of self shrinkers in
Alexander Mramor, Shengwen Wang
In this note we show that compact self shrinkers in are "topologically standard" in that any genus compact self shrinker is ambiently isotopic to the standard ge…
math.DG2017
Round spheres are Hausdorff stable under small perturbation of entropy
Shengwen Wang
We show that if the entropy of any closed hypersurface is close to that of a round hyper-sphere, then it is close to a round sphere in Hausdorff distance. Generalizing the result o…