5 citations · 5 across the 7 of their papers we have counts for
8 papers
Spaces of metrics with positive spectral scalar curvature
Gioacchino Antonelli, Georg Frenck, Bernhard Hanke
Let and let be a closed connected smooth manifold. Let be the space of smooth Riemannian metrics on for which the generalized conformal Laplace oper…
Scalar Curvature Rigidity for Products of convex Hypersurfaces and even dimensional Manifolds
Georg Frenck, Thomas Schick, Lukas Schönlinner
We give a proof of scalar curvature rigidity in the spirit of Llarull and Goette-Semmelmann for products of strictly convex hypersurfaces in Euclidean space and nonnegatively curve…
The doubling conjecture for positive scalar curvature
Georg Frenck
The doubling conjecture predicts that a manifold admits positive scalar curvature with mean convex boundary if and only if its double admits positive scalar curvature. We show that…
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…
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…
Positive scalar curvature with point singularities
Simone Cecchini, Georg Frenck, Rudolf Zeidler
We show that in every dimension , there exists a smooth closed manifold which does not admit a smooth positive scalar curvature ("psc") metric, but admits an $\…