Morse theory for the area functional

Fernando C. Marques, André Neves

Research output: Contribution to journalArticle


In this article we will discuss a Morse-theoretic existence result of closed minimal hypersurfaces based on the notion of volume spectrum.

Original languageEnglish (US)
JournalSao Paulo Journal of Mathematical Sciences
StateAccepted/In press - 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Statistics, Probability and Uncertainty
  • Computational Theory and Mathematics


  • Area functional
  • Geometric measure theory
  • Minimal surfaces
  • Morse theory
  • Volume spectrum

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