English

Generalized Hantzsche-Wendt Flat Manifolds

Geometric Topology 2010-02-02 v3 Group Theory

Abstract

We study the family of closed Riemannian n-manifolds with holonomy group isomorphic to Z2n1Z_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.

Keywords

Cite

@article{arxiv.math/0208205,
  title  = {Generalized Hantzsche-Wendt Flat Manifolds},
  author = {Juan Pablo Rossetti and Andrzej Szczepanski},
  journal= {arXiv preprint arXiv:math/0208205},
  year   = {2010}
}

Comments

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