30.10.2025, 16:15
– Building 9, Room 1.22, Golm
Forschungsseminar Differentialgeometrie
(Some) scalar curvature rigid submersions are Riemannian products
Oskar Riedler
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 $\log\lambda \ll \rho$.