From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Spaces of metrics with positive spectral scalar curvature
Gioacchino Antonelli, Georg Frenck, Bernhard Hanke
The paper investigates the space of Riemannian metrics on a closed manifold for which a generalized conformal Laplacian is positive, establishing homotopy equivalences and contract…
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…