Solvsolitons associated with graphs

Autores
Lafuente, Ramiro Augusto
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
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
Materia
Ricci Solitons
Homogeneous Riemannian Manifolds
Left-Invariant Metrics on Lie Groups
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/10629
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Solvsolitons associated with graphsLafuente, Ramiro AugustoRicci SolitonsHomogeneous Riemannian ManifoldsLeft-Invariant Metrics on Lie Groupshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We 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.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; Argentinade Gruyter2013-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/10629Lafuente, Ramiro Augusto; Solvsolitons associated with graphs; de Gruyter; Advances In Geometry; 13; 2; 3-2013; 255-2751615-715X1615-7168enginfo:eu-repo/semantics/altIdentifier/doi/10.1515/advgeom-2012-0032info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/abstract/j/advg.2013.13.issue-2/advgeom-2012-0032/advgeom-2012-0032.xmlinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:00:26Zoai:ri.conicet.gov.ar:11336/10629instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 12:00:26.514CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Solvsolitons associated with graphs
title Solvsolitons associated with graphs
spellingShingle Solvsolitons associated with graphs
Lafuente, Ramiro Augusto
Ricci Solitons
Homogeneous Riemannian Manifolds
Left-Invariant Metrics on Lie Groups
title_short Solvsolitons associated with graphs
title_full Solvsolitons associated with graphs
title_fullStr Solvsolitons associated with graphs
title_full_unstemmed Solvsolitons associated with graphs
title_sort Solvsolitons associated with graphs
dc.creator.none.fl_str_mv Lafuente, Ramiro Augusto
author Lafuente, Ramiro Augusto
author_facet Lafuente, Ramiro Augusto
author_role author
dc.subject.none.fl_str_mv Ricci Solitons
Homogeneous Riemannian Manifolds
Left-Invariant Metrics on Lie Groups
topic Ricci Solitons
Homogeneous Riemannian Manifolds
Left-Invariant Metrics on Lie Groups
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
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
description 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.
publishDate 2013
dc.date.none.fl_str_mv 2013-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/10629
Lafuente, Ramiro Augusto; Solvsolitons associated with graphs; de Gruyter; Advances In Geometry; 13; 2; 3-2013; 255-275
1615-715X
1615-7168
url http://hdl.handle.net/11336/10629
identifier_str_mv Lafuente, Ramiro Augusto; Solvsolitons associated with graphs; de Gruyter; Advances In Geometry; 13; 2; 3-2013; 255-275
1615-715X
1615-7168
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1515/advgeom-2012-0032
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/abstract/j/advg.2013.13.issue-2/advgeom-2012-0032/advgeom-2012-0032.xml
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/zip
application/pdf
dc.publisher.none.fl_str_mv de Gruyter
publisher.none.fl_str_mv de Gruyter
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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