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dc.contributor.author
Lafuente, Ramiro Augusto  
dc.date.available
2016-12-29T18:45:53Z  
dc.date.issued
2013-03  
dc.identifier.citation
Lafuente, Ramiro Augusto; Solvsolitons associated with graphs; de Gruyter; Advances In Geometry; 13; 2; 3-2013; 255-275  
dc.identifier.issn
1615-715X  
dc.identifier.uri
http://hdl.handle.net/11336/10629  
dc.description.abstract
We show how to associate with each graph with a certain property (positivity) a family of simply connected solvable Lie groups endowed with left-invariant Riemannian metrics that are Ricci solitons (called solvsolitons). We classify them up to isometry, obtaining families depending on many parameters of explicit examples of Ricci solitons (of arbitrarily large dimension). A classification of graphs with up to 3 coherent components according to positivity is also given.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
de Gruyter  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Ricci Solitons  
dc.subject
Homogeneous Riemannian Manifolds  
dc.subject
Left-Invariant Metrics on Lie Groups  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Solvsolitons associated with graphs  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2016-11-25T14:00:36Z  
dc.identifier.eissn
1615-7168  
dc.journal.volume
13  
dc.journal.number
2  
dc.journal.pagination
255-275  
dc.journal.pais
Alemania  
dc.description.fil
Fil: Lafuente, Ramiro Augusto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Centro de Investigación y Estudios de Matemática de Córdoba(p); Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina  
dc.journal.title
Advances In Geometry  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1515/advgeom-2012-0032  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/abstract/j/advg.2013.13.issue-2/advgeom-2012-0032/advgeom-2012-0032.xml  

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