dc.creatorArroyo, Romina Melisa
dc.creatorLafuente, Ramiro A.
dc.date.accessioned2020-12-11T14:42:10Z
dc.date.accessioned2022-10-15T05:20:45Z
dc.date.available2020-12-11T14:42:10Z
dc.date.available2022-10-15T05:20:45Z
dc.date.created2020-12-11T14:42:10Z
dc.date.issued2019-07
dc.identifierArroyo, 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.identifier0024-6115
dc.identifierhttp://hdl.handle.net/11336/120197
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4349135
dc.description.abstractWe 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.languageeng
dc.publisherLondon Mathematical Society
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/plms.12228
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/plms.12228
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectPLURICLOSED FLOW
dc.subjectSOLITONS
dc.subjectLIE GROUPS
dc.subjectSOLVABLE
dc.titleThe long-time behavior of the homogeneous pluriclosed flow
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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