Twistor theory for CR quaternionic manifolds and related structures

DOI10.1007/s00605-011-0326-0zbMath1254.53080arXiv0905.1455OpenAlexW2762747564MaRDI QIDQ714978

Liviu Ornea, Stefano Marchiafava, Radu Pantilie

Publication date: 15 October 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1455

zbMATH Keywords

CR geometrytwistor theoryquaternionic geometry

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28)

Related Items

Harmonic morphisms and moment maps on hyper-Kähler manifolds ⋮ The Penrose transform in quaternionic geometry ⋮ A generalized integrability problem for \(G\)-structures ⋮ Twistor theory for co-CR quaternionic manifolds and related structures ⋮ On tame \(\rho \)-quaternionic manifolds ⋮ HARMONIC MAPS AND TWISTORIAL STRUCTURES ⋮ Generalized quaternionic manifolds ⋮ Almost CR quaternionic manifolds and their immersibility in \(\mathbb{H}\mathrm{P}^n\). ⋮ On the classification of the real vector subspaces of a quaternionic vector space ⋮ On holomorphic maps and generalized complex geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Twistor theory for co-CR quaternionic manifolds and related structures
• Quaternionic structures on a manifold and subordinated structures
• Pseudo-conformal quaternionic \(CR\) structure on \((4n+3)\)-dimensional manifolds
• Harmonic morphisms between Weyl spaces and twistorial maps. II
• LeBrun's nonrealizability theory in higher dimensions
• On deformations of complex analytic structures. I
• A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann
• Twistorial maps between quaternionic manifolds
• Twistor CR Manifolds and Three-Dimensional Conformal Geometry
• Compatible complex structures on almost quaternionic manifolds
• On totally umbilical QR-submanifolds of quaternion Kaehlerian manifolds
• Differential geometry of quaternionic manifolds