A proof of the multiplicity 1 conjecture for min-max minimal surfaces in arbitrary codimension
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Date
2020Type
- Journal Article
Abstract
Given any admissible k-dimensional family of immersions of a given closed oriented surface into an arbitrary closed Riemannian manifold, we prove that the corresponding min-max width for the area is achieved by a smooth (possibly branched) immersed minimal surface with multiplicity 1 and Morse index bounded by k. Show more
Publication status
publishedExternal links
Journal / series
Duke Mathematical JournalVolume
Pages / Article No.
Publisher
Duke University PressSubject
minimal surfaces; min-max; viscosity method; multiplicity 1 conjectureOrganisational unit
03600 - Rivière, Tristan / Rivière, Tristan
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