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A proof of the multiplicity one conjecture for min-max minimal surfaces in arbitrary codimension. (arXiv:1807.04205v1 [math.DG])
来源于:arXiv
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 one and Morse index
bounded by $k$. 查看全文>>