The Anosov theorem for flat generalized Hantzsche-Wendt manifolds
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Publication:556209
DOI10.1016/J.GEOMPHYS.2004.02.007zbMath1068.37010OpenAlexW1968572098MaRDI QIDQ556209
Bram De Rock, Karel Dekimpe, Wim Malfait
Publication date: 13 June 2005
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.02.007
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fixed points and coincidences in algebraic topology (55M20) Differentiable mappings in differential topology (57R35)
Related Items (8)
Commutator subgroups of Hantzsche–Wendt groups ⋮ Properties of generalized Hantzsche–Wendt groups ⋮ The Anosov relation for Nielsen numbers of maps of infra-nilmanifolds ⋮ Tangent bundles of Hantzsche-Wendt manifolds ⋮ The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups. ⋮ Nielsen zeta functions for maps on infra-nilmanifolds are rational ⋮ \(\mathbb Z_2\)-cohomology and spectral properties of flat manifolds of diagonal type ⋮ Coincidence theory for infra-nilmanifolds
Cites Work
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- Bieberbach groups and flat manifolds
- Comparison of twisted \(p\)-form spectra for flat manifolds with diagonal holonomy
- Maps on infra-nilmanifolds. Rigidity and applications to fixed-point theory
- The Anosov theorem for exponential solvmanifolds
- Generalized Hantzsche-Wendt flat manifolds.
- Almost-Bieberbach groups: affine and polynomial structures
- The Nielsen numbers of virtually unipotent maps on infra-nilmanifolds
- Lectures on Nielsen fixed point theory
- The Nielsen numbers of maps of nil-manifolds
- The Nielsen Numbers of Homotopically Periodic Maps of Infranilmanifolds
- Isospectral Hantzsche-Wendt manifolds
- The Nielsen numbers of Anosov diffeomorphisms on flat Riemannian manifolds
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