Five-Dimensional Bieberbach Groups with Holonomy Group Z2 ⊕ Z2

J. P. Rossetti; Paulo Tirao

doi:10.1023/A:1005182812310

Five-Dimensional Bieberbach Groups with Holonomy Group Z₂ ⊕ Z₂

J. P. Rossetti^*, Paulo Tirao

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper we determine all five-dimensional compact flat Riemannian manifolds with holonomy group Z₂ ⊕ Z₂. The classification is achieved by classifying their fundamental groups up to isomorphism. The Betti numbers of all these manifolds are also computed.

Original language	English
Pages (from-to)	149-172
Number of pages	24
Journal	Geometriae Dedicata
Volume	77
Issue number	2
DOIs	https://doi.org/10.1023/A:1005182812310
State	Published - 1999
Externally published	Yes

Keywords

Bieberbach groups
Flat manifolds

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10.1023/A:1005182812310

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@article{5add603ed7bc4c699996fd93e2f8aa69,

title = "Five-Dimensional Bieberbach Groups with Holonomy Group Z2 ⊕ Z2",

abstract = "In this paper we determine all five-dimensional compact flat Riemannian manifolds with holonomy group Z2 ⊕ Z2. The classification is achieved by classifying their fundamental groups up to isomorphism. The Betti numbers of all these manifolds are also computed.",

keywords = "Bieberbach groups, Flat manifolds",

author = "Rossetti, {J. P.} and Paulo Tirao",

note = "Funding Information: Supported in part by FaMAF and CONICOR, Argentina.",

year = "1999",

doi = "10.1023/A:1005182812310",

language = "英语",

volume = "77",

pages = "149--172",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Five-Dimensional Bieberbach Groups with Holonomy Group Z2 ⊕ Z2

AU - Rossetti, J. P.

AU - Tirao, Paulo

N1 - Funding Information: Supported in part by FaMAF and CONICOR, Argentina.

PY - 1999

Y1 - 1999

N2 - In this paper we determine all five-dimensional compact flat Riemannian manifolds with holonomy group Z2 ⊕ Z2. The classification is achieved by classifying their fundamental groups up to isomorphism. The Betti numbers of all these manifolds are also computed.

AB - In this paper we determine all five-dimensional compact flat Riemannian manifolds with holonomy group Z2 ⊕ Z2. The classification is achieved by classifying their fundamental groups up to isomorphism. The Betti numbers of all these manifolds are also computed.

KW - Bieberbach groups

KW - Flat manifolds

UR - http://www.scopus.com/inward/record.url?scp=0039763141&partnerID=8YFLogxK

U2 - 10.1023/A:1005182812310

DO - 10.1023/A:1005182812310

M3 - 文章

AN - SCOPUS:0039763141

SN - 0046-5755

VL - 77

SP - 149

EP - 172

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 2

ER -

Five-Dimensional Bieberbach Groups with Holonomy Group Z₂ ⊕ Z₂

Abstract

Keywords

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