Compact flat manifolds with holonomy group Z2 ⊕ Z2

J. P. Rossetti; P. A. Tirao

doi:10.1090/S0002-9939-96-03633-7

Compact flat manifolds with holonomy group Z₂ ⊕ Z₂

J. P. Rossetti, P. A. Tirao

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

7 Scopus citations

Abstract

In this paper we construct a family of compact flat manifolds, for all dimensions n ≥ 3, with holonomy group isomorphic to Z₂² and first Betti number zero.

Original language	English
Pages (from-to)	2491-2499
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	124
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-96-03633-7
State	Published - 1996
Externally published	Yes

Keywords

Bieberbach groups
Flat manifolds

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10.1090/S0002-9939-96-03633-7

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title = "Compact flat manifolds with holonomy group Z2 ⊕ Z2",

abstract = "In this paper we construct a family of compact flat manifolds, for all dimensions n ≥ 3, with holonomy group isomorphic to Z22 and first Betti number zero.",

keywords = "Bieberbach groups, Flat manifolds",

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year = "1996",

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KW - Bieberbach groups

KW - Flat manifolds

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JF - Proceedings of the American Mathematical Society

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Compact flat manifolds with holonomy group Z₂ ⊕ Z₂

Abstract

Keywords

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