Generalized Hantzsche-Wendt Flat Manifolds

Juan Pablo Rossetti; Andrzej Szczepanski

Generalized Hantzsche-Wendt Flat Manifolds

几何拓扑 2010-02-02 v3 群论

作者: Juan Pablo Rossetti , Andrzej Szczepanski

摘要

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.

关键词

holonomy algebraic topology lie groups

引用

@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}
}

备注

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

Generalized Hantzsche-Wendt Flat Manifolds

摘要

关键词

引用

备注

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