Self-Duality and Differentiable Structures on the Connected Sum of Complex Projective Planes

DOI10.2307/2160286zbMath0808.32028OpenAlexW4244407596MaRDI QIDQ4306003

Yat Sun Poon, Henrik Pedersen

Publication date: 15 September 1994

Full work available at URL: https://doi.org/10.2307/2160286

zbMATH Keywords

twistor spacepositive scalar curvaturecomplex projective planeself- dual manifold

Mathematics Subject Classification ID

Related Items (11)

Heterotic string compactification and new vector bundles ⋮ Deformation of LeBrun's ALE metrics with negative mass ⋮ On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes ⋮ Twistors, Quartics, and del Pezzo Fibrations ⋮ Higher dimensional generalizations of twistor spaces ⋮ On pluri-half-anticanonical systems of LeBrun twistor spaces ⋮ Non-Moishezon twistor spaces of $4{\mathbf {CP}}^2$ with non-trivial automorphism group ⋮ Double solid twistor spaces: the case of arbitrary signature ⋮ Geometry of some twistor spaces of algebraic dimension one ⋮ Moishezon twistor spaces on 4ℂℙ² ⋮ \(\text{U}(1)\)-decomposable self-dual manifolds

Cites Work

• On the algebraic structure of twistor spaces
• On twistor spaces of the class \({\mathcal C}\)
• Compact self-dual manifolds with positive scalar curvature
• Algebraic dimension of twistor spaces
• Self-dual conformal structures on \(\mathbb{C} \mathbb{P}^ 2\)
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Connected sums of self-dual manifolds and deformations of singular spaces
• Linear field equations on self-dual spaces
• Kählerian Twistor Spaces
• Twistors, Kahler Manifolds, and Bimeromorphic Geometry. II

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