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arXiv:2104.10630 [math.DG]AbstractReferencesReviewsResources

Dynamical (in)stability of Ricci-flat ALE metrics along Ricci flow

Alix Deruelle, Tristan Ozuch

Published 2021-04-21Version 1

We study the stability and instability of ALE Ricci-flat metrics around which a Lojasiewicz inequality is satisfied for a variation of Perelman's $\lambda$-functional adapted to the ALE situation and denoted $\lambda_{\operatorname{ALE}}$. This functional was introduced by the authors in a recent work and it has been proven that it satisfies a good enough Lojasiewicz inequality at least in neighborhoods of integrable ALE Ricci-flat metrics in dimension larger than or equal to 5.

Comments: 56 pages, comments welcome!
Categories: math.DG
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