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math.DG2020★ 4 cited
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…
math.DG2020★ 5 cited
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…
math.DG2020
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…