Compact flat manifolds with holonomy group $\mathbf {Z}_2 \oplus \mathbf {Z}_2$
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- by J. P. Rossetti and P. A. Tirao
- Proc. Amer. Math. Soc. 124 (1996), 2491-2499
- DOI: https://doi.org/10.1090/S0002-9939-96-03633-7
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Abstract:
In this paper we construct a family of compact flat manifolds, for all dimensions $n\ge 3$, with holonomy group isomorphic to $\mathbf {Z}_2^2$ and first Betti number zero.References
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Bibliographic Information
- J. P. Rossetti
- Affiliation: FAMAF, Universidad Nacional de Córdoba, Argentina
- P. A. Tirao
- Affiliation: FAMAF Universidad Nacional de Córdoba, Argentina
- Received by editor(s): November 29, 1994
- Additional Notes: Supported in part by FaMAF and CONICOR
- Communicated by: Christopher Croke
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2491-2499
- MSC (1991): Primary 53C20; Secondary 20H15
- DOI: https://doi.org/10.1090/S0002-9939-96-03633-7
- MathSciNet review: 1353397