Full generic regularity II for min-max minimal hypersurfaces
Full generic regularity II for min-max minimal hypersurfaces
Let be a closed smooth manifold, and let be a Baire -generic Riemannian metric on . A min-max -minimal hypersurface is a minimal hypersurface generated by min-max theory. Full generic regularity II. Every min-max -minimal hypersurface is smooth. This extends the preceding generic regularity conjecture from area minimizers to min-max minimal hypersurfaces, which are not generally area minimizing. The conjecture is relevant to extending generic regularity and density results to higher dimensions.
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Primary source
Yangyang Li and Zhihan Wang, “Minimal hypersurfaces for generic metrics in dimension 8”, arXiv:2205.01047 (2022).
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