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Stability of ALE Ricci-Flat Manifolds Under Ricci Flow by Deruelle, Alix; Kröncke, Klaus is a Mathematics article available to read on EtoBox.
What is Stability of ALE Ricci-Flat Manifolds Under Ricci Flow about?
## 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 togexists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close tog. 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.
Who reads Stability of ALE Ricci-Flat Manifolds Under Ricci Flow?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Deruelle, Alix; Kröncke, Klaus
- Publisher
- Springer-Verlag; Springer New York LLC; Springer Science and Business Media LLC (ISSN 1050-6926)
- Published
- 2020
- Language
- EN
- ISBN
- 9781222002003
- Field
- Mathematics (Physical Sciences)