Dynamical (In)Stability of Ricci-flat ALE metrics along the Ricci flow

Author(s)
Deruelle, Alix; Ozuch, Tristan
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Abstract
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 $$\lambda $$ λ functional adapted to the ALE situation and denoted $$\lambda _{{\text {ALE}}}$$ 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.
Date issued
2023-01-12
URI
https://hdl.handle.net/1721.1/147090
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer Berlin Heidelberg
Citation
Calculus of Variations and Partial Differential Equations. 2023 Jan 12;62(3):84
Version: Author's final manuscript
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