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arXiv · 2104.10630

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

Alix Deruelle·Tristan Ozuch
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Abstract

We study the stability and instability of ALE Ricci-flat metrics around which a Lojasiewicz inequality is satisfied for a variation of Perelman's $λ$-functional adapted to the ALE situation and denoted $λ_{\operatorname{ALE}}$. 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.

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BibTeXRIS

Alix Deruelle, Tristan Ozuch. 2021-04-21. Dynamical (in)stability of Ricci-flat ALE metrics along Ricci flow. https://arxiv.org/abs/2104.10630

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