Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2

Autores
Tirao, Paulo Andres
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we determine and classify all compact Riemannian flat manifolds with holonomy group isomorphic to Z2 ⊕ Z2 and first Betti number zero. Also we give explicit realizations of all of them.
Fil: Tirao, Paulo Andres. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
Flat manifolds
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/129972

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spelling Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2Tirao, Paulo AndresFlat manifoldshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we determine and classify all compact Riemannian flat manifolds with holonomy group isomorphic to Z2 ⊕ Z2 and first Betti number zero. Also we give explicit realizations of all of them.Fil: Tirao, Paulo Andres. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaMathematical Sciences Publishers2001-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/129972Tirao, Paulo Andres; Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2; Mathematical Sciences Publishers; Pacific Journal Of Mathematics; 198; 1; 12-2001; 207-2330030-8730CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://research.gtiit.edu.cn/en/publications/primitive-compact-flat-manifolds-with-holonomy-group-zsub2sub-zsuinfo:eu-repo/semantics/altIdentifier/doi/10.2140/pjm.2001.198.207info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:27:03Zoai:ri.conicet.gov.ar:11336/129972instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:27:03.948CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
title Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
spellingShingle Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
Tirao, Paulo Andres
Flat manifolds
title_short Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
title_full Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
title_fullStr Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
title_full_unstemmed Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
title_sort Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2
dc.creator.none.fl_str_mv Tirao, Paulo Andres
author Tirao, Paulo Andres
author_facet Tirao, Paulo Andres
author_role author
dc.subject.none.fl_str_mv Flat manifolds
topic Flat manifolds
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper we determine and classify all compact Riemannian flat manifolds with holonomy group isomorphic to Z2 ⊕ Z2 and first Betti number zero. Also we give explicit realizations of all of them.
Fil: Tirao, Paulo Andres. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description In this paper we determine and classify all compact Riemannian flat manifolds with holonomy group isomorphic to Z2 ⊕ Z2 and first Betti number zero. Also we give explicit realizations of all of them.
publishDate 2001
dc.date.none.fl_str_mv 2001-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/129972
Tirao, Paulo Andres; Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2; Mathematical Sciences Publishers; Pacific Journal Of Mathematics; 198; 1; 12-2001; 207-233
0030-8730
CONICET Digital
CONICET
url http://hdl.handle.net/11336/129972
identifier_str_mv Tirao, Paulo Andres; Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2; Mathematical Sciences Publishers; Pacific Journal Of Mathematics; 198; 1; 12-2001; 207-233
0030-8730
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://research.gtiit.edu.cn/en/publications/primitive-compact-flat-manifolds-with-holonomy-group-zsub2sub-zsu
info:eu-repo/semantics/altIdentifier/doi/10.2140/pjm.2001.198.207
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Mathematical Sciences Publishers
publisher.none.fl_str_mv Mathematical Sciences Publishers
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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