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Geometric Analysis Seminar

Stability of ALE Ricci-flat manifolds under Ricci-flow

Klaus Kroencke, University of Hamburg, Germany

Location:  HILL 423
Date & time: Friday, 29 September 2017 at 11:25AM - 12:25PM

Abstract:   We prove that if an ALE Ricci-flat manifold (M,g)  is linearly stable and integrable, it is dynamically stable under Ricci flow, i.e. any Ricci flow starting close to g exists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close to g. By adapting  Tian's approach in the closed case, we show that integrability holds for  ALE Calabi-Yau manifolds which implies that they are dynamically stable. 

This is joint work with Alix Deruelle

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