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Generalized Hantzsche-Wendt flat manifolds.

Juan P. Rossetti, Andrzey Szczepanski (2005)

Revista Matemática Iberoamericana

We study the family of closed Riemannian n-manifolds with holonomy group isomorphic to Z2n-1, 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.

Geometric orbifolds.

William D. Dunbar (1988)

Revista Matemática de la Universidad Complutense de Madrid

An orbifold is a topological space which ?locally looks like? the orbit space of a properly discontinuous group action on a manifold. After a brief review of basic concepts, we consider the special case 3-dimensional orbifolds of the form GammaM, where M is a simply-connected 3-dimensional homogeneous space corresponding to one of Thurston?s eight geometries, and where Gamma < Isom(M) acts properly discontinuously. A general description of these geometric orbifolds is given and the closed...

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