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dc.contributor.author
Tolcachier, Alejandro
dc.date.available
2023-10-17T09:56:24Z
dc.date.issued
2022-01
dc.identifier.citation
Tolcachier, Alejandro; Classification of 6-dimensional splittable flat solvmanifolds; Springer; Manuscripta Mathematica; 1-2022; 1-31
dc.identifier.issn
0025-2611
dc.identifier.uri
http://hdl.handle.net/11336/215085
dc.description.abstract
A flat solvmanifold is a compact quotient Γ∖G where G is a simply-connected solvable Lie group endowed with a flat left invariant metric and Γ is a lattice of G. Any such Lie group can be written as G=Rk ltimes_ϕ Rm with Rm the nilradical. In this article we focus on 6-dimensional splittable flat solvmanifolds, which are obtained quotienting G by a lattice Γ that can be decomposed as Γ=Γ1 ltimes_ϕ Γ2, where Γ1 and Γ2 are lattices of Rk and Rm, respectively. We analyze the relation between these lattices and the conjugacy classes of finite abelian subgroups of GL(n,Z), which is known up to n≤6. From this we obtain the classification of 6-dimensional splittable flat solvmanifolds.
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
Splittable Lie group
dc.subject
Flat manifold
dc.subject
Solvmanifold
dc.subject
Lattice
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Classification of 6-dimensional splittable flat solvmanifolds
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-10-12T11:26:54Z
dc.journal.pagination
1-31
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Tolcachier, Alejandro. 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.journal.title
Manuscripta Mathematica
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00229-021-01364-w
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00229-021-01364-w
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