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.
References
Primary source
Yangyang Li and Zhihan Wang, “Minimal hypersurfaces for generic metrics in dimension 8”, arXiv:2205.01047 (2022).
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