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math.DG2025
Regularity of cylindrical singular sets of mean curvature flow
Ao Sun, Zhihan Wang, Jinxin Xue
In this paper, we study the -cylindrical singular set of mean curvature flow in for each . We prove that they are locally contained in a -d…
math.DG2025
Generic regularity for minimizing hypersurfaces in dimension 11
Otis Chodosh, Christos Mantoulidis, Felix Schulze +1
We prove that area-minimizing hypersurfaces are generically smooth in ambient dimension in the context of the Plateau problem and of area minimization in integral homology. Fo…
math.DG2025
Passing through nondegenerate singularities in mean curvature flows
Ao Sun, Zhihan Wang, Jinxin Xue
In this paper, we study the properties of nondegenerate cylindrical singularities of mean curvature flow. We prove they are isolated in spacetime and provide a complete description…