Quantization of the Willmore Energy in Riemannian Manifolds

Autor:	Michelat, Alexis, Mondino, Andrea
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry 53C42 53A30 49Q10
Druh dokumentu:	Working Paper
Popis:	We show that the quantization of energy for Willmore spheres into closed Riemannian manifolds holds provided that the Willmore energy and the area are uniformly bounded. The analogous energy quantization result holds for Willmore surfaces of arbitrary genus, under the additional assumptions that the immersion maps weakly converge to a limiting (possibly branched, weak immersion) map from the same surface, and that the conformal structures stay in a compact domain of the moduli space. Comment: 82 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2112.13831 Zobrazit plný text záznamu View this record from Arxiv