Morse Index Estimates of Min-Max Willmore Surfaces

Autor:	Michelat, Alexis
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry Mathematics - Analysis of PDEs 35J35 35R01 49Q10 53A05 53A10 53A30 53C42 58E15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 62 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.07700 Zobrazit plný text záznamu View this record from Arxiv