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dc.contributor.author
Arroyo, Romina Melisa  
dc.contributor.author
Lafuente, Ramiro Augusto  
dc.date.available
2018-09-17T20:50:52Z  
dc.date.issued
2017-02  
dc.identifier.citation
Arroyo, Romina Melisa; Lafuente, Ramiro Augusto; The Alekseevskii conjecture in low dimensions; Springer; Mathematische Annalen; 367; 1-2; 2-2017; 283-309  
dc.identifier.issn
0025-5831  
dc.identifier.uri
http://hdl.handle.net/11336/59984  
dc.description.abstract
The long-standing Alekseevskii conjecture states that a connected homogeneous Einstein space G / K of negative scalar curvature must be diffeomorphic to Rn. This was known to be true only in dimensions up to 5, and in dimension 6 for non-semisimple G. In this work we prove that this is also the case in dimensions up to 10 when G is not semisimple. For arbitrary G, besides 5 possible exceptions, we show that the conjecture holds up to dimension 8.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Alekseevskii Conjecture  
dc.subject
Low Dimensions  
dc.subject
Einstein Metrics  
dc.subject
Non-Compact Homogeneous Spaces  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The Alekseevskii conjecture in low dimensions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-09-14T19:01:53Z  
dc.journal.volume
367  
dc.journal.number
1-2  
dc.journal.pagination
283-309  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: Arroyo, Romina Melisa. 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  
dc.description.fil
Fil: Lafuente, Ramiro Augusto. Westfalische Wilhelms Universitat; Alemania  
dc.journal.title
Mathematische Annalen  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s00208-016-1386-1  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00208-016-1386-1  

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