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dc.contributor.author
Arroyo, Romina Melisa
dc.contributor.author
Lafuente, Ramiro A.
dc.date.available
2020-12-11T14:42:10Z
dc.date.issued
2019-07
dc.identifier.citation
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.issn
0024-6115
dc.identifier.uri
http://hdl.handle.net/11336/120197
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.format
application/pdf
dc.language.iso
eng
dc.publisher
London Mathematical Society
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
PLURICLOSED FLOW
dc.subject
SOLITONS
dc.subject
LIE GROUPS
dc.subject
SOLVABLE
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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
dc.date.updated
2020-11-19T21:19:07Z
dc.journal.volume
119
dc.journal.number
1
dc.journal.pagination
266-289
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Arroyo, Romina Melisa. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. University of Queensland; Australia
dc.description.fil
Fil: Lafuente, Ramiro A.. University of Queensland; Australia. The University of Queensland; Australia
dc.journal.title
Proceedings of the London Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://londmathsoc.onlinelibrary.wiley.com/doi/full/10.1112/plms.12228
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1112/plms.12228
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