Generalized Hantzsche-Wendt flat manifolds
Rossetti, Juan P. ; Szczepański, Andrzej
Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, p. 1053-1070 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We study the family of closed Riemannian $n$-manifolds with holonomy group isomorphic to $\mathbb{Z}_2^{n-1}$, 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.
Publié le : 2005-03-14
Classification:  flat manifold,  Bieberbach group,  holonomy representation,  20H15,  57S30,  53C29,  20F34,  57N16,  05C25 
@article{1136999141,
     author = {Rossetti, Juan P. and Szczepa\'nski, Andrzej},
     title = {Generalized Hantzsche-Wendt flat manifolds},
     journal = {Rev. Mat. Iberoamericana},
     volume = {21},
     number = {2},
     year = {2005},
     pages = { 1053-1070},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1136999141}
}

Rossetti, Juan P.; Szczepański, Andrzej. Generalized Hantzsche-Wendt flat manifolds. Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, pp.  1053-1070. http://gdmltest.u-ga.fr/item/1136999141/