Stability of ALE Ricci-flat manifolds under Ricci flow

General Relativity, Geometry and Analysis: beyond the first 100 years after Einstein

12 September 11:00 - 12:00

Klaus Kröncke - Universität Hamburg

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.
Lars Andersson
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine


Mattias Dahl


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