| dc.contributor.author | Alvarado, Carlos A. | |
| dc.contributor.author | Ozuch, Tristan | |
| dc.contributor.author | Santiago, Daniel A. | |
| dc.date.accessioned | 2023-12-14T15:25:24Z | |
| dc.date.available | 2023-12-14T15:25:24Z | |
| dc.date.issued | 2023-12-06 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/153157 | |
| dc.description.abstract | Abstract
We provide the first example of continuous families of Poincaré–Einstein metrics developing cusps on the trivial topology
$$\mathbb {R}^4$$
R
4
. We also exhibit families of metrics with unexpected degenerations in their conformal infinity only. These are obtained from the Riemannian version of an ansatz of Debever and Plebański–Demiański. We additionally indicate how to construct similar examples on more complicated topologies. | en_US |
| dc.publisher | Springer Netherlands | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s10455-023-09923-y | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Springer Netherlands | en_US |
| dc.title | Families of degenerating Poincaré–Einstein metrics on ℝ4 | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Annals of Global Analysis and Geometry. 2023 Dec 06;65(1):5 | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.identifier.mitlicense | PUBLISHER_CC | |
| dc.eprint.version | Final published version | 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 | 2023-12-10T04:07:36Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s) | |
| dspace.embargo.terms | N | |
| dspace.date.submission | 2023-12-10T04:07:36Z | |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
