Morse index of multiplicity one min-max minimal hypersurfaces
نویسندگان
چکیده
In this paper, we prove that the Morse index of a multiplicity one, smooth, min-max minimal hypersurface is generically equal to dimension homology class detected by families used in construction. This confirms part program ([31], [34], [36], [43]) proposed authors with goal developing theory for area functional.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2020.107527