Morse index of multiplicity one min-max minimal hypersurfaces

Fernando C. Marques, André Neves

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

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
Volume378
DOIs
StatePublished - Feb 12 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Min-max methods
  • Minimal surfaces
  • Morse Index

Fingerprint

Dive into the research topics of 'Morse index of multiplicity one min-max minimal hypersurfaces'. Together they form a unique fingerprint.

Cite this