Morse Index Estimates of Min-Max Willmore Surfaces
Differential Geometry
2018-08-24 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1808.07700,
title = {Morse Index Estimates of Min-Max Willmore Surfaces},
author = {Alexis Michelat},
journal= {arXiv preprint arXiv:1808.07700},
year = {2018}
}
Comments
62 pages