On 3-dimensional CR manifolds and twistors

DOI10.5802/aif.2290zbMath1124.53014arXivmath/0601754OpenAlexW1588556881MaRDI QIDQ2372827

Olivier Biquard

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601754

zbMATH Keywords

CR manifoldtwistorselfdual metric

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Twistor methods in differential geometry (53C28) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Self-dual Einstein ACH metrics and CR GJMS operators in dimension three ⋮ From \(G_2\) geometry to quaternionic Kähler metrics

Cites Work

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• Boundary behaviour of the complex Monge-Ampère equation
• Real hypersurfaces in complex manifolds
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Self-dual metrics on the ball
• Einstein metrics and complex singularities
• Twistor spaces, Einstein metrics and isomonodromic deformations
• Autodual Einstein versus Kähler-Einstein
• Hyperkähler metrics on cotangent bundles
• ℋ -Space with a cosmological constant
• Twistor CR Manifolds and Three-Dimensional Conformal Geometry
• Self-duality in four-dimensional Riemannian geometry
• Higher-dimensional algebraic geometry

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