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dc.contributor.author
Lauret, Jorge Ruben
dc.contributor.author
Rodriguez Valencia, Edwin Alejandro
dc.date.available
2018-07-12T15:08:41Z
dc.date.issued
2015-09
dc.identifier.citation
Lauret, Jorge Ruben; Rodriguez Valencia, Edwin Alejandro; On the Chern-Ricci flow and its solitons for Lie groups; Wiley VCH Verlag; Mathematische Nachrichten; 288; 13; 9-2015; 1512-1526
dc.identifier.issn
0025-584X
dc.identifier.uri
http://hdl.handle.net/11336/51847
dc.description.abstract
This paper is concerned with Chern-Ricci flow evolution of left-invariant hermitian structures on Lie groups. We study the behavior of a solution, as t is approaching the first time singularity, by rescaling in order to prevent collapsing and obtain convergence in the pointed (or Cheeger-Gromov) sense to a Chern-Ricci soliton. We give some results on the Chern-Ricci form and the Lie group structure of the pointed limit in terms of the starting hermitian metric and, as an application, we obtain a complete picture for the class of solvable Lie groups having a codimension one normal abelian subgroup. We have also found a Chern-Ricci soliton hermitian metric on most of the complex surfaces which are solvmanifolds, including an unexpected shrinking soliton example.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Wiley VCH Verlag
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Chern-Ricci
dc.subject
Flow
dc.subject
Lie Groups
dc.subject
Solitons
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On the Chern-Ricci flow and its solitons for Lie groups
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-07-04T19:20:14Z
dc.journal.volume
288
dc.journal.number
13
dc.journal.pagination
1512-1526
dc.journal.pais
Alemania
dc.journal.ciudad
Weinheim
dc.description.fil
Fil: Lauret, Jorge Ruben. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Rodriguez Valencia, Edwin Alejandro. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.journal.title
Mathematische Nachrichten
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1002/mana.201300333
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201300333
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