On a classification of fat bundles over compact homogeneous spaces

DOI10.1016/j.difgeo.2016.07.007zbMath1352.53019arXiv1607.03005OpenAlexW2963865274WikidataQ115355643 ScholiaQ115355643MaRDI QIDQ344165

Anna Szczepkowska, Maciej Bocheński, Artur Woike, Aleksy Tralle

Publication date: 22 November 2016

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

Full work available at URL: https://arxiv.org/abs/1607.03005

zbMATH Keywords

homogeneous spaceinvariant connection\(G\)-structurefat bundle

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global Riemannian geometry, including pinching (53C20) (G)-structures (53C10)

Cites Work

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• The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\)
• On symplectically fat twistor bundles
• Topological obstructions to fatness
• On nondegenerate coupling forms
• Hyperbolic geometry and non-Kähler manifolds with trivial canonical bundle
• Fat bundles and symplectic manifolds
• Curvature and symmetry of Milnor spheres
• Unflat Connections in 3-Sphere Bundles Over S 4
• Circle-invariant fat bundles and symplectic Fano 6-manifolds

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