Autor:	Eichmair, Michael, Koerber, Thomas, Metzger, Jan, Schulze, Felix
Rok vydání:	2022
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	Let $(M,g)$ be a Riemannian $3$-manifold that is asymptotic to Schwarzschild. We study the existence of large area-constrained Willmore spheres $\Sigma \subset M$ with non-negative Hawking mass and inner radius $\rho$ dominated by the area radius $\lambda$. If the scalar curvature of $(M,g)$ is non-negative, we show that no such surfaces with $\log \lambda \ll \rho$ exist. This answers a question of G. Huisken. Comment: Final version to appear in Duke Math. J. $ $
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.04102 Zobrazit plný text záznamu View this record from Arxiv