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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 |
dc.conicet.fuente | individual |