The twistor spaces of a para-quaternionic Kähler manifold

zbMath1177.53047MaRDI QIDQ2482307

Vicente Cortés, Dimitrii V. Alekseevsky

Publication date: 16 April 2008

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1205503566

zbMATH Keywords

minimal submanifoldtwistor spacepara-quaternionic Kähler manifoldG-structures

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Twistor methods in differential geometry (53C28) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (12)

Real simple symplectic triple systems ⋮ Special geometry of Euclidean supersymmetry. IV: The local c-map ⋮ The para-HK/QK correspondence ⋮ Paraquaternionic CR-submanifolds of paraquaternionic Kähler manifolds and semi-Riemannian submersions ⋮ A twistor construction of Hopf real hypersurfaces in complex hyperbolic space ⋮ (Para-)Hermitian and (para-)Kähler submanifolds of a para-quaternionic Kähler manifold ⋮ Homogeneous Einstein manifolds based on symplectic triple systems ⋮ Real holomorphic sections of the Deligne-Hitchin twistor space ⋮ On the structure of nearly pseudo-Kähler manifolds ⋮ On paraquaternionic submersions between paraquaternionic Kähler manifolds ⋮ Interactions between para-quaternionic and Grassmannian geometry ⋮ Paraquaternionic CR-Submanifolds

Cites Work

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• Quaternionic Kaehler manifolds
• \(G\)-structures of twistor type and their twistor spaces
• Hyperbolic twistor space
• The fundamental equations of a submersion
• Bochner-Kähler metrics
• Self-duality in four-dimensional Riemannian geometry
• Yang-Mills fields on quaternionic spaces
• Twistor Algebra

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