20.02.2025, 10:15
– Raum 0.12 in Haus 9
Forschungsseminar Differentialgeometrie
Kähler and quaternion-Kähler manifolds of non-negative curvature
Uwe Semmelmann (Stuttgart)
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 $\log\lambda \ll \rho$.