Bernhard Hanke

collaborators

3 papers

math.DG2026

Spaces of metrics with positive spectral scalar curvature

Gioacchino Antonelli, Georg Frenck, Bernhard Hanke

Let $n \geq 2$ and let $M^{n}$ be a closed connected smooth manifold. Let $R^{γ} (M)$ be the space of smooth Riemannian metrics $g$ on $M$ for which the generalized conformal Laplace oper…

math.DG2026

The lock principle for scalar curvature

Georg Frenck, Bernhard Hanke, Sven Hirsch

We prove a Riemannian positive mass theorem for asymptotically flat spin manifolds with hypersurface singularities. Unlike earlier results, some components of the singular set may…

math.DG2026

Surgery and total mean curvature

Georg Frenck, Bernhard Hanke, Sven Hirsch

We prove Gromov's conjecture on the total mean curvature of fill-ins in various cases. Our methods are based on surgery to reduce the statement to fill-ins of spheres, which can be…