Quaternion Kähler flat manifolds

DOI10.1016/S0926-2245(01)00043-2zbMath1029.53053OpenAlexW2066357048WikidataQ115338295 ScholiaQ115338295MaRDI QIDQ5945500

Isabel G. Dotti, Roberto J. Miatello

Publication date: 5 February 2004

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(01)00043-2

zbMATH Keywords

holonomy groupBieberbach grouphyper-Kähler flat manifoldsquaternionic Kähler flat manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Issues of holonomy in differential geometry (53C29)

Related Items (2)

Parallel spinors on flat manifolds ⋮ Flat manifolds with holonomy representation of quaternionic type

Cites Work

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• Bieberbach groups and flat manifolds
• Kähler and symplectic structures on nilmanifolds
• Isospectral compact flat manifolds
• Manifolds with holonomy group \(Z_2\oplus Z_2\) and first Betti number zero
• Compact flat manifolds with holonomy group \(\mathbb Z_2\oplus\mathbb Z_2\). II
• Five-dimensional Bieberbach groups with holonomy group \(\mathbb{Z}_2\oplus\mathbb{Z}_2\)
• Comparison of twisted \(p\)-form spectra for flat manifolds with diagonal holonomy
• On certain locally homogeneous Clifford manifolds
• Cohomology of Bieberbach groups
• Isospectral Hantzsche-Wendt manifolds
• Compact flat manifolds with holonomy group 𝐙₂⊕𝐙₂

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