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math.DG2013★ 33 cited
Stability of Einstein metrics under Ricci flow
Klaus Kroencke
We prove dynamical stability and instability theorems for compact Einstein metrics under the Ricci flow. We give a nearly complete charactarization of dynamical stability and insta…
math.DG2013★ 20 cited
On the stability of Einstein manifolds
Klaus Kroencke
Certain curvature conditions for stability of Einstein manifolds with respect to the Einstein-Hilbert action are given. These conditions are given in terms of quantities involving…