Generalized Hantzsche-Wendt flat manifolds.

DOI10.4171/RMI/445zbMath1159.53328arXivmath/0208205OpenAlexW2017894264MaRDI QIDQ2493584

Juan Pablo Rossetti, Andrzej Szczepański

Publication date: 21 June 2006

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208205

zbMATH Keywords

Bieberbach groupflat manifoldholonomy representation

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Issues of holonomy in differential geometry (53C29) Other geometric groups, including crystallographic groups (20H15) Discontinuous groups of transformations (57S30) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items (15)

Cohomological rigidity of oriented Hantzsche-Wendt manifolds ⋮ Affine representations of Fibonacci groups and flat manifolds ⋮ Spin\(^c\) structures on Hantzsche-Wendt manifolds ⋮ Tangent bundles of Hantzsche-Wendt manifolds ⋮ Flat manifolds with holonomy group \(\mathbb{Z}_{2}^{k}\) of diagonal type ⋮ Eta invariants for flat manifolds ⋮ \({\mathbb{Z}}_2^k\)-manifolds are isospectral on forms ⋮ Complex Hantzsche-Wendt manifolds ⋮ \(\mathbb Z_2\)-cohomology and spectral properties of flat manifolds of diagonal type ⋮ Coincidence theory for infra-nilmanifolds ⋮ The Anosov theorem for flat generalized Hantzsche-Wendt manifolds ⋮ Problems on Bieberbach groups and flat manifolds ⋮ The spectrum of twisted Dirac operators on compact flat manifolds ⋮ Kähler flat manifolds ⋮ Fibering flat manifolds of diagonal type and their fundamental groups

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