3 citations · 7 across the 8 of their papers we have counts for
8 papers
Static vacuum metrics in (4 + 1) dimensions with Λ < 0 and squashed conformal infinity
Piotr T. Chruściel, Jiaxin Song, Raphaela Wutte +2
We construct numerically two families of static five-dimensional Lorentzian metrics, solutions of vacuum Einstein equations with a negative cosmological constant, one with and one…
On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones
Klaus Kroencke, Markus Wolff
In this paper, we address the uniqueness of surfaces of constant spacetime mean curvature in an asymptotically Schwarzschildean lightcone of mass . We prove that there exists…
cohomology and Hodge decomposition for ALE manifolds
Baptiste Devyver, Klaus Kroencke
We relate the dimensions of reduced cohomology spaces in degree k of an ALE manifold to the dimension of some spaces of decaying harmonic forms, depending both on p and on k.…
Spectra, rigidity and stability of sine-cones
Klaus Kroencke
We compute the spectra of the Laplace-Beltrami operator, the connection Laplacian on 1-forms and the Einstein operator on symmetric 2-tensors on the sine-cone over a positive Einst…
Long-time estimates for heat flows on ALE manifolds
Klaus Kroencke, Oliver Lindblad Petersen
We consider the heat equation associated to Schrödinger operators acting on vector bundles on asymptotically locally Euclidean (ALE) manifolds. Novel decay estimates ar…
Mean curvature flow in asymptotically flat product spacetimes
Klaus Kroencke, Oliver Lindblad Petersen, Felix Lubbe +6
We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold , where is asymptotically flat.…
Perelman's Entropies for Manifolds with conical Singularities
Klaus Kroencke, Boris Vertman
In this paper we discuss Perelman's Lambda-functional, Perelman's Ricci shrinker entropy as well as the Ricci expander entropy on a class of manifolds with isolated conical singula…
Stability of sin-cones and cosh-cylinders
Klaus Kroencke
This work concerns stability and instability of Einstein warped products with an Einsteinian fiber of codimension 1. We study the cases where the scalar curvature of the warped pro…