| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.creator |
Deruelle, Alix |
|
| dc.creator |
Ozuch, Tristan |
|
| dc.date |
2023-01-13T13:01:24Z |
|
| dc.date |
2023-01-13T13:01:24Z |
|
| dc.date |
2023-01-12 |
|
| dc.date |
2023-01-13T04:24:51Z |
|
| dc.date.accessioned |
2023-02-17T20:14:42Z |
|
| dc.date.available |
2023-02-17T20:14:42Z |
|
| dc.identifier |
https://hdl.handle.net/1721.1/147090 |
|
| dc.identifier |
Calculus of Variations and Partial Differential Equations. 2023 Jan 12;62(3):84 |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/242291 |
|
| dc.description |
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. |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
Springer Berlin Heidelberg |
|
| dc.relation |
https://doi.org/10.1007/s00526-022-02403-4 |
|
| 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. |
|
| dc.rights |
The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature |
|
| dc.source |
Springer Berlin Heidelberg |
|
| dc.title |
Dynamical (In)Stability of Ricci-flat ALE metrics along the Ricci flow |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|