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Klaus Kröncke: Stability of ALE Ricci-flat manifolds under Ricci flow

Time: Thu 2019-09-12 11.00 - 12.00

Location: Seminar Hall Kuskvillan, Institut Mittag-Leffler

Participating: Klaus Kröncke - Universität Hamburg

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We prove that if an ALE Ricci-flat manifold \((M,g)\) is linearly stable and integrable, it is (\(L^2-\))dynamically stable under Ricci flow, i.e. any Ricci flow starting (\(L^2\cap L^{\infty}-\))close to g exists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close to g. This is joint work with Alix Deruelle.