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arXiv · 1808.07700

Morse Index Estimates of Min-Max Willmore Surfaces

Alexis Michelat
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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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Alexis Michelat. 2018-08-23. Morse Index Estimates of Min-Max Willmore Surfaces. https://arxiv.org/abs/1808.07700

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