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math.DGJan 17, 2019
4
citations (OpenAlex)
authors
  • Otis Chodosh
  • Christos Mantoulidis
institutions
  • Institute for Advanced Study
  • Massachusetts Institute of Technology
  • Princeton University
arXiv abstractPDF
paper

Minimal hypersurfaces with arbitrarily large area

arXiv:1901.05893 · doi:10.1093/imrn/rnz128

Abstract

For 3 ≤ n ≤ 7, we prove that a bumpy closed Riemannian n-manifold contains a sequence of connected embedded closed minimal surfaces with unbounded area.

References in corpus (1)

  • Minimal hypersurfaces with bounded index

Cited by in corpus (1)

  • On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area and Morse Index
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