\(\mathbb Z_2\)-cohomology and spectral properties of flat manifolds of diagonal type

DOI10.1016/j.geomphys.2010.01.006zbMath1214.53033OpenAlexW2078943945MaRDI QIDQ967480

Juan Pablo Rossetti, Sergio Console, Roberto J. Miatello

Publication date: 29 April 2010

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.01.006

zbMATH Keywords

Stiefel-Whitney classBieberbach groupLyndon-Hochschild-Serre spectral sequenceflat Riemannian manifoldHantzsche-Wendt-manifold

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global Riemannian geometry, including pinching (53C20) Other geometric groups, including crystallographic groups (20H15) Algebraic topology on manifolds and differential topology (57R19)

Related Items (4)

Cohomological rigidity of oriented Hantzsche-Wendt manifolds ⋮ Spin\(^c\) structures on Hantzsche-Wendt manifolds ⋮ Flat manifolds with holonomy group \(\mathbb{Z}_{2}^{k}\) of diagonal type ⋮ Representation equivalence and \(p\)-spectrum of constant curvature space forms

Uses Software

• CARAT

Cites Work

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