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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/129972
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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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1844614272079888384 |
score |
13.070432 |