• Corpus ID: 232352577

Degeneration of 7-dimensional minimal hypersurfaces which are stable or have bounded index

@inproceedings{Edelen2021DegenerationO7,
  title={Degeneration of 7-dimensional minimal hypersurfaces which are stable or have bounded index},
  author={Nick Edelen},
  year={2021}
}
A 7-dimensional area-minimizing embedded hypersurface $M$ will in general have a discrete singular set. The same is true if $M$ is stable, or has bounded index, provided $H^6(sing M) = 0$. We show that if $M_i$ are a sequence of such minimal hypersurfaces which are minimizing, stable, or have bounded index, then $M_i$ can limit to a singular $M$ with only very controlled geometry, topology, and singular set. We show one can always"parameterize"a subsequence $i'$ with controlled bi-Lipschitz… 
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