Generalized Hantzsche-Wendt flat manifolds.

Juan P. Rossetti; Andrzey Szczepanski

Revista Matemática Iberoamericana (2005)

  • Volume: 21, Issue: 3, page 1053-1070
  • ISSN: 0213-2230

Abstract

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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.

How to cite

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Rossetti, Juan P., and Szczepanski, Andrzey. "Generalized Hantzsche-Wendt flat manifolds.." Revista Matemática Iberoamericana 21.3 (2005): 1053-1070. <http://eudml.org/doc/41961>.

@article{Rossetti2005,
abstract = {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.},
author = {Rossetti, Juan P., Szczepanski, Andrzey},
journal = {Revista Matemática Iberoamericana},
keywords = {Variedad riemanniana; Grupos de matrices; Grupos de transformación; Grupos de holonomia; flat manifold; Bieberbach group; holonomy representation},
language = {eng},
number = {3},
pages = {1053-1070},
title = {Generalized Hantzsche-Wendt flat manifolds.},
url = {http://eudml.org/doc/41961},
volume = {21},
year = {2005},
}

TY - JOUR
AU - Rossetti, Juan P.
AU - Szczepanski, Andrzey
TI - Generalized Hantzsche-Wendt flat manifolds.
JO - Revista Matemática Iberoamericana
PY - 2005
VL - 21
IS - 3
SP - 1053
EP - 1070
AB - 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.
LA - eng
KW - Variedad riemanniana; Grupos de matrices; Grupos de transformación; Grupos de holonomia; flat manifold; Bieberbach group; holonomy representation
UR - http://eudml.org/doc/41961
ER -

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