dc.creator | Arroyo, Romina Melisa | |
dc.creator | Lafuente, Ramiro A. | |
dc.date.accessioned | 2020-12-11T14:42:10Z | |
dc.date.accessioned | 2022-10-15T05:20:45Z | |
dc.date.available | 2020-12-11T14:42:10Z | |
dc.date.available | 2022-10-15T05:20:45Z | |
dc.date.created | 2020-12-11T14:42:10Z | |
dc.date.issued | 2019-07 | |
dc.identifier | Arroyo, Romina Melisa; Lafuente, Ramiro A.; The long-time behavior of the homogeneous pluriclosed flow; London Mathematical Society; Proceedings of the London Mathematical Society; 119; 1; 7-2019; 266-289 | |
dc.identifier | 0024-6115 | |
dc.identifier | http://hdl.handle.net/11336/120197 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4349135 | |
dc.description.abstract | We study the asymptotic behavior of the pluriclosed flow in the case of left-invariant Hermitian structures on Lie groups. We prove that solutions on 2-step nilpotent Lie groups and on almost-abelian Lie groups converge, after a suitable normalization, to self-similar solutions of the flow. Given that the spaces are solvmanifolds, an unexpected feature is that some of the limits are shrinking solitons. We also exhibit the first example of a homogeneous manifold on which a geometric flow has some solutions with finite extinction time and some that exist for all positive times. | |
dc.language | eng | |
dc.publisher | London Mathematical Society | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/plms.12228 | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/plms.12228 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | PLURICLOSED FLOW | |
dc.subject | SOLITONS | |
dc.subject | LIE GROUPS | |
dc.subject | SOLVABLE | |
dc.title | The long-time behavior of the homogeneous pluriclosed flow | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |