5 citations · 6 across the 4 of their papers we have counts for
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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…
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…
Generic Regularity of Minimal Hypersurfaces in Dimension 8
Yangyang Li, Zhihan Wang
In this paper, we show that every -dimensional closed Riemmanian manifold with -generic metrics admits a smooth minimal hypersurface. This generalized previous results…
Deformations of Singular Minimal Hypersurfaces I, Isolated Singularities
Zhihan Wang
Locally stable minimal hypersurface could have singularities in dimension in general, locally modeled on stable and area-minimizing cones in the Euclidean spaces. In this…
Min-max Minimal Hypersurfaces with Obstacle
Zhihan Wang
We study min-max theory for area functional among hypersurfaces constrained in a smooth manifold with boundary. A Schoen-Simon-type regularity result is proved for integral varifol…