HAL (France)
open access
Estimating the Morse index of free boundary minimal hypersurfaces through covering arguments
Abstract Given a compact Riemannian manifold, of dimension between 3 and 7, with boundary, we adapt Song’s covering method to the free boundary case to show that the Morse index of a free boundary minimal hypersurface grows linearly with the sum of its Betti numbers, where the constant of growth dep
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