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dc.contributor.author
Lauret, Emilio Agustin  
dc.date.available
2020-03-20T13:51:30Z  
dc.date.issued
2020-03  
dc.identifier.citation
Lauret, Emilio Agustin; On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups; American Mathematical Society; Proceedings of the American Mathematical Society; 3-2020; 1-5  
dc.identifier.issn
0002-9939  
dc.identifier.uri
http://hdl.handle.net/11336/100378  
dc.description.abstract
Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group $G$, there is a positive real number $C$ such that $\lambda_1(G,g)\operatorname{diam}(G,g)^2\leq C$ for all left-invariant metrics $g$ on $G$. In this short note, we establish the conjecture for the small subclass of naturally reductive left-invariant metrics on a compact simple Lie group.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
DIAMETER  
dc.subject
NATURALLY REDUCTIVE METRIC  
dc.subject
LEFT-INVARIANT METRIC  
dc.subject
LAPLACE EIGENVALUE  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple 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
2020-02-26T20:07:06Z  
dc.identifier.eissn
1088-6826  
dc.journal.pagination
1-5  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Providence  
dc.description.fil
Fil: Lauret, Emilio Agustin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina  
dc.journal.title
Proceedings of the American Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/proc/earlyview/#proc14969  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1090/proc/14969  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1906.03325