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 language | English (US) |
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Article number | 107527 |
Journal | Advances in Mathematics |
Volume | 378 |
DOIs | |
State | Published - Feb 12 2021 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Min-max methods
- Minimal surfaces
- Morse Index