Generalized Hantzsche-Wendt Flat Manifolds

Abstract

We study the family of closed Riemannian n-manifolds with holonomy group isomorphic to $Z_2^{n-1}$, which we call generalized Hantzsche-Wendt manifolds. We prove results on their structures, compute some invariants, and find relations between them, illustrated in graph connecting the family.

16 pages, 1 figure. Revista Matematica Iberoamericana. Vol. 21, no. 3 (2005). (to appear)

References in corpus (1)

• Describing the platycosms