Curvature properties of twistor spaces of quaternionic Kähler manifolds

DOI10.1007/BF01237595zbMath0911.53019MaRDI QIDQ1266473

Bogdan Alexandrov, Gueo Grantcharov, Stefan Ivanov

Publication date: 5 May 1999

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

curvature tensoralmost Kähler manifoldtwistor spacequaternionic Kähler manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (15)

CURVATURE PROPERTIES OF PSEUDO-SPHERE BUNDLES OVER PARAQUATERNIONIC MANIFOLDS ⋮ \(Sp(n)U(1)\)-connections with parallel totally skew-symmetric torsion ⋮ Some remarks on almost Hermitian functionals ⋮ The complex geometry of two exceptional flag manifolds ⋮ Curvature properties of twistor spaces ⋮ HOLOMORPHIC AND KILLING VECTOR FIELDS ON COMPACT BALANCED HERMITIAN MANIFOLDS ⋮ On symplectically fat twistor bundles ⋮ Twistor spaces of Riemannian manifolds with even Clifford structures ⋮ New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\) ⋮ Foliations of semi-Riemannian manifolds ⋮ Harmonic and holomorphic 1-forms on compact balanced Hermitian manifolds ⋮ Some integrability conditions for almost Kähler manifolds ⋮ Hyperbolic twistor space ⋮ Curvature properties of the Chern connection of twistor spaces ⋮ Complex contact manifolds and hyperkähler geometry

Cites Work

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• Lie groups and twistor spaces
• Rigidity of nonnegatively curved compact quaternionic-Kähler manifolds
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Quaternionic Kaehler manifolds
• Curvature identities for Hermitian and almost Hermitian manifolds
• Complex structures on quaternionic manifolds
• Infinite Hankel matrices and generalized Caratheodory-Fejer and Riesz problems
• Twistor Spaces with Hermitian Ricci Tensor
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
• Self-duality in four-dimensional Riemannian geometry
• Integrability of Almost Kaehler Manifolds
• Harmonic Mappings of Riemannian Manifolds
• Symplectic twistor spaces

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