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- Title
Dynamical (In)Stability of Ricci-flat ALE metrics along the Ricci flow.
- Authors
Deruelle, Alix; Ozuch, Tristan
- Abstract
We study the stability and instability of ALE Ricci-flat metrics around which a Łojasiewicz inequality is satisfied for a variation of Perelman's λ functional adapted to the ALE situation and denoted λ ALE . This functional was introduced by the authors in a recent work and it has been proven that it satisfies a good enough Łojasiewicz inequality at least in neighborhoods of integrable ALE Ricci-flat metrics in dimension larger than or equal to 5.
- Subjects
ALE; RICCI flow; NEIGHBORHOODS
- Publication
Calculus of Variations & Partial Differential Equations, 2023, Vol 62, Issue 3, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-022-02403-4