• Corpus ID: 248496879

Minimal hypersurfaces for generic metrics in dimension 8

  title={Minimal hypersurfaces for generic metrics in dimension 8},
  author={Yangyang Li and Zhihan Wang},
. We show that in an 8-dimensional closed Riemmanian manifold with C ∞ -generic metrics, every minimal hypersurface is smooth and nondegenerate. This confirms a full generic regularity conjecture of minimal hypersurfaces in dimension eight. This also enables us to generalize many generic geometric properties of (Almgren-Pitts) min-max minimal hypersurfaces, previously only known in low dimensions, to dimension eight. 
1 Citations

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