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