A Bochner formula for almost-quaternionic-Hermitian structures

DOI10.1016/j.difgeo.2004.03.007zbMath1057.53033OpenAlexW2086822546WikidataQ115358050 ScholiaQ115358050MaRDI QIDQ1877591

Gil Bor, Luis Hernández-Lamoneda

Publication date: 19 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2004.03.007

zbMATH Keywords

irreducible representationBochner formulaintrinsic torsion\(G\)-structure\(Sp_1\cdot Sp_n\)-structurealmost-quaternionic-Hermitian manifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) (G)-structures (53C10)

Related Items

An integral formula for \(G_2\)-structures ⋮ Curvature of almost quaternion-Hermitian manifolds ⋮ An integral formula for Riemannian \(G\)-structures with applications to almost Hermitian and almost contact structures ⋮ The twistor space of a dimensional almost Hermitian manifold

Cites Work

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• Compatible almost complex structures on quaternion Kähler manifolds
• Bochner formulae for orthogonal \(G\)-structures on compact manifolds.
• Curvature vs. almost Hermitian structures
• Kähler manifolds and 1/4-pinching
• Differential geometry of quaternionic manifolds