4 papers
Ricci flow and the scalar curvature rigidity of Einstein manifolds
Klaus Kroencke
We review recent results relating linear stability to dynamical stability and the scalar curvature rigidity of Einstein manifolds. We discuss closed and open Einstein manifolds as…
The Volume-Renormalized Mass from a Hamiltonian Perspective
Mattias Dahl, Klaus Kroencke, Stephen McCormick
We demonstrate that the volume-renormalized mass for asymptotically hyperbolic manifolds recently introduced by the authors can be deduced from a reduced Hamiltonian perspective. I…
Green functions and a positive mass theorem for asymptotically hyperbolic -manifolds
Klaus Kroencke, Francesca Oronzio, Alan Pinoy
We prove a new positive mass theorem for three-dimensional manifolds which are asymptotically hyperboloidal of order greater than . The mass quantity under consideration is the…
On stability and scalar curvature rigidity of quaternion-Kähler manifolds
Klaus Kroencke, Uwe Semmelmann
We show that every quaternion-Kähler manifold of negative scalar curvature is stable as an Einstein manifold and therefore scalar curvature rigid. In particular, this implies that…