Morse index of multiplicity one min-max minimal hypersurfaces

Fernando C. Marques, André Neves

Research output: Contribution to journalArticlepeer-review

30 Scopus citations


In this paper, we prove that the Morse index of a multiplicity one, smooth, min-max minimal hypersurface is generically equal to the dimension of the homology class detected by the families used in the construction. This confirms part of the program ([31], [34], [36], [43]) proposed by the authors with the goal of developing a Morse theory for the area functional.

Original languageEnglish (US)
Article number107527
JournalAdvances in Mathematics
StatePublished - Feb 12 2021

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Min-max methods
  • Minimal surfaces
  • Morse Index


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