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Morse Index Estimates of Min-Max Willmore Surfaces

Published 23 Aug 2018 in math.DG and math.AP | (1808.07700v1)

Abstract: We show that the sum of the Morse indices of the Willmore spheres realising the width of Willmore type sweep-outs is bounded by the number of the parameters of the min-max. As an application, we deduce that among the true Willmore spheres realising the min-max sphere eversion, at most one of them one has index 1, while the others must be stable.

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