We study the family of closed Riemannian -manifolds with holonomy group isomorphic to , which we call generalized Hantzsche-Wendt manifolds. We prove results on their structure, compute some invariants, and find relations between them, illustrated in a graph connecting the family.
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Juan P. Rossetti, Andrzej Szczepański, Generalized Hantzsche-Wendt flat manifolds. Rev. Mat. Iberoam. 21 (2005), no. 3, pp. 1053–1070DOI 10.4171/RMI/445