| dc.contributor.author | Deruelle, Alix | |
| dc.contributor.author | Ozuch, Tristan | |
| dc.date.accessioned | 2023-01-13T13:01:24Z | |
| dc.date.available | 2023-01-13T13:01:24Z | |
| dc.date.issued | 2023-01-12 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/147090 | |
| dc.description.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. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00526-022-02403-4 | en_US |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Dynamical (In)Stability of Ricci-flat ALE metrics along the Ricci flow | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Calculus of Variations and Partial Differential Equations. 2023 Jan 12;62(3):84 | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2023-01-13T04:24:51Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2023-01-13T04:24:51Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
