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math.DG2021
Compactness and rigidity of self-shrinking surfaces
Tang-Kai Lee
The entropy functional introduced by Colding and Minicozzi plays a fundamental role in the analysis of mean curvature flow. However, unlike the hypersurface case, relatively little…
math.DG2021
Convexity of -hypersurfaces
Tang-Kai Lee
We prove that any -dimensional closed mean convex -hypersurface is convex if This generalizes Guang's work on -dimensional strictly mean convex -hypersurfaces…