Manifolds with an $SU(2)$-action on the tangent bundle

DOI10.1090/S0002-9947-05-03782-7zbMath1110.53022arXivmath/0309301MaRDI QIDQ5469959

Roger Bielawski

Publication date: 29 May 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309301

zbMATH Keywords

hypercomplex structuretwistor spacemonopoleWard correspondence

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

The Penrose transform in quaternionic geometry ⋮ Hyperkähler geometry of rational curves in twistor spaces ⋮ Line bundles on spectral curves and the generalised Legendre transform construction of hyperkähler metrics ⋮ Differential geometry of Hilbert schemes of curves in a projective space ⋮ Para-Hermitian and paraquaternionic manifolds

Cites Work

• A construction of hyper-Kähler metrics
• Twistor correspondences for the soliton hierarchies
• Hyper-Hermitian metrics with symmetry
• Complex Paraconformal Manifolds – their Differential Geometry and Twistor Theory
• Yang-Mills fields on quaternionic spaces
• Twistor theory of hyper-Kähler metrics with hidden symmetries
• On self-dual gauge fields
• Hyper-Kähler hierarchies and their twistor theory
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