In this paper we give a complete classification of compact flat manifolds with holonomy group Z2⊕ Z2, with the property that the holonomy representation decomposes as a direct sum of indecomposable representations of Z-rank equal to 1 or 2. We exhibit explicit realizations of all the manifolds classified, computing the first integral homology groups. Finally, we compare the results obtained with the known results in low dimensions.
|Number of pages||38|
|Journal||Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova|
|State||Published - 1999|