From the 1 of 7 linked papers with an AI index.
7 papers
On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones
Klaus Kroencke, Markus Wolff
The paper proves that in an asymptotically Schwarzschildean lightcone there is a unique asymptotically flat foliation by surfaces of constant spacetime mean curvature, characterize…
Some isolation and stability results for Einstein manifolds
Letizia Branca, Klaus Kroencke
We prove new isolation and stability results for Einstein manifolds in a variety of settings. Imposing conditions on the Weyl tensor, we establish new stability criteria for compac…
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…
Foliations of asymptotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature
Klaus Kroencke, Markus Wolff
We construct asymptotic foliations of asymtotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature (STCMC). Our construction is motivated by the appro…