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math.DG2020★ 1 cited
Convergence of the Ricci flow to Ricci-flat ALE manifolds and positive scalar curvature rigidity
Klaus Kroencke, Oliver Lindblad Petersen
We prove stability of integrable ALE manifolds with a parallel spinor under Ricci flow, given an initial metric which is close in , for any , where…
math.DG2020
Bounded Ricci Curvature and Positive Scalar Curvature under Singular Ricci de Turck Flow
Klaus Kroencke, Tobias Marxen, Boris Vertman
In this paper we consider a Ricci de Turck flow of spaces with isolated conical singularities, which preserves the conical structure along the flow. We establish that a given initi…