English

Minimal hypersurfaces with arbitrarily large area

Differential Geometry 2019-08-30 v1

Abstract

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

Keywords

Cite

@article{arxiv.1901.05893,
  title  = {Minimal hypersurfaces with arbitrarily large area},
  author = {Otis Chodosh and Christos Mantoulidis},
  journal= {arXiv preprint arXiv:1901.05893},
  year   = {2019}
}
R2 v1 2026-06-23T07:14:50.227Z