19.07.2024, 10:15 - 11:30
– 2.28.0.108
SFB-Kolloquium
SFB Colloquium with Edriss Titi
Edriss Titi , University of Cambridge
Jan Metzger
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 $\log\lambda \ll \rho$.