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dc.contributor.author
Gutiérrez, María Valeria  
dc.date.available
2023-12-01T17:59:51Z  
dc.date.issued
2022-04  
dc.identifier.citation
Gutiérrez, María Valeria; On Ricci negative derivations; De Gruyter; Advances In Geometry; 22; 2; 4-2022; 199-214  
dc.identifier.issn
1615-715X  
dc.identifier.uri
http://hdl.handle.net/11336/219077  
dc.description.abstract
Given a nilpotent Lie algebra, we study the space of all diagonalizable derivations such that the corresponding one-dimensional solvable extension admits a left-invariant metric with negative Ricci curvature. Lauret and Will have conjectured that such a space coincides with an open and convex subset of derivations defined in terms of the moment map for the variety of nilpotent Lie algebras. We prove the validity of the conjecture in dimensions ≤ 5, as well as for Heisenberg Lie algebras and standard filiform Lie algebras.  
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
FILIFORM LIE ALGEBRA  
dc.subject
HEISENBERG LIE ALGEBRA  
dc.subject
NEGATIVE RICCI CURVATURE  
dc.subject
SOLVABLE LIE ALGEBRA  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On Ricci negative derivations  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-11-29T13:17:20Z  
dc.journal.volume
22  
dc.journal.number
2  
dc.journal.pagination
199-214  
dc.journal.pais
Alemania  
dc.description.fil
Fil: Gutiérrez, María Valeria. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba; Argentina  
dc.journal.title
Advances In Geometry  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1515/advgeom-2022-0004  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/advgeom-2022-0004/html  

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