50 citations · 159 across the 16 of their papers we have counts for
4 papers · 2 filters
Holonomy rigidity for Ricci-flat metrics
Bernd Ammann, Klaus Kroencke, Hartmut Weiss +1
On a closed connected oriented manifold we study the space of all Riemannian metrics which admit a non-zero parallel spinor on the universal covering. Such…
On infinitesimal Einstein deformations
Klaus Kroencke
We study infinitesimal Einstein deformations on compact flat manifolds and on product manifolds. Moreover, we prove refinements of results by Koiso and Bourguignon which yield obst…
Stable and unstable Einstein warped products
Klaus Kroencke
In this article, we systematically investigate the stability properties of certain warped product Einstein manifolds. We characterize stability of these metrics in terms of an eige…
Stable fixed points of the Einstein flow with positive cosmological constant
David Fajman, Klaus Kroencke
We prove nonlinear stability for a large class of solutions to the Einstein equations with a positive cosmological constant and compact spatial topology in arbitrary dimensions, wh…