Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Let (M, g) be a Riemannian 3-manifold that is asymptotic to Schwarzschild. We study large area-constrained Willmore spheres $\Sigma\subset M$ with non-negative Hawking mass and inner radius $\rho$ dominated by the area radius $\lambda$.
We show that if the scalar curvature of $(M,g)$ is non-negative,
then there are no such surfaces with $\log\lambda \ll \rho$.