Seminars & Colloquia Calendar
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