Vol. 198, No. 1, 2001

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Primitive compact flat manifolds with holonomy group Z2 ⊕ Z2

Paulo Tirao

Vol. 198 (2001), No. 1, 207–233
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.

Milestones
Received: 11 November 1998
Revised: 22 February 2000
Published: 1 March 2001
Authors
Paulo Tirao
FaMAF - Universidad Nacional de Córdoba
Ciudad Universitaria
5000 Córdoba
Argentina