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math.DG2022★ 1 cited
Minimal hypersurfaces for generic metrics in dimension 8
Yangyang Li, Zhihan Wang
We show that in an -dimensional closed Riemmanian manifold with -generic metrics, every minimal hypersurface is smooth and nondegenerate. This confirms a full generic…
math.DG2022
Mean Convex Smoothing of Mean Convex Cones
Zhihan Wang
We show that any minimizing hypercone can be perturbed into one side to a properly embedded smooth minimizing hypersurface in the Euclidean space, and every viscosity mean convex c…