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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… Click to show full abstract
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.
Keywords:
min max;
max minimal;
multiplicity one;
morse index;
index multiplicity
Journal Title: Advances in Mathematics
Year Published: 2021
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Journal Title: Advances in Mathematics
Year Published: 2021
Link to full text (if available)
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recommendations!