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Compactness of minimal hypersurfaces with bounded index

Differential Geometry 2015-01-13 v1 Analysis of PDEs

Abstract

We prove a compactness result for minimal hypersurfaces with bounded index and volume, which can be thought of as an extension of the compactness theorem of Choi-Schoen (Invent. Math. 1985) to higher dimensions.

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Cite

@article{arxiv.1501.02703,
  title  = {Compactness of minimal hypersurfaces with bounded index},
  author = {Ben Sharp},
  journal= {arXiv preprint arXiv:1501.02703},
  year   = {2015}
}

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17 pages