3 papers
math.DG2025
Contractibility of spaces of positive scalar curvature metrics with symmetry
Christian Baer, Bernhard Hanke
We show the contractibility of spaces of invariant Riemannian metrics of positive scalar curvature on compact connected manifolds of dimension at least two, with and without bounda…
math.DG2025
Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds
Simone Cecchini, Bernhard Hanke, Thomas Schick +1
Using the index theory for twisted Dirac operators acting on sections of Lipschitz bundles over non-compact manifolds, we prove Llarull-type comparison results in scalar curvature…
math.DG2024
K-cowaist of manifolds with boundary
Christian Baer, Bernhard Hanke
We extend the K-cowaist inequality to generalized Dirac operators in the sense of Gromov and Lawson and study applications to manifolds with boundary.