Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2

Paulo Tirao

doi:10.2140/pjm.2001.198.207

Primitive compact flat manifolds with holonomy group Z₂ ⊕ Z₂

Paulo Tirao^*

^*Corresponding author for this work

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

2 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	207-233
Number of pages	27
Journal	Pacific Journal of Mathematics
Volume	198
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2001.198.207
State	Published - Mar 2001
Externally published	Yes

Access to Document

10.2140/pjm.2001.198.207

Cite this

@article{eb60de31e377401f82711e320e43748a,

title = "Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2",

abstract = "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.",

author = "Paulo Tirao",

year = "2001",

month = mar,

doi = "10.2140/pjm.2001.198.207",

language = "英语",

volume = "198",

pages = "207--233",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "University of California, Berkeley",

number = "1",

}

TY - JOUR

T1 - Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2

AU - Tirao, Paulo

PY - 2001/3

Y1 - 2001/3

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0039843542&partnerID=8YFLogxK

U2 - 10.2140/pjm.2001.198.207

DO - 10.2140/pjm.2001.198.207

M3 - 文章

AN - SCOPUS:0039843542

VL - 198

SP - 207

EP - 233

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

SN - 0030-8730

IS - 1

ER -

Primitive compact flat manifolds with holonomy group Z₂ ⊕ Z₂

Abstract

Access to Document

Other files and links

Fingerprint

Cite this