The deformation theory of anti-self-dual conformal structures

DOI10.1007/BF01934343zbMath0765.58005MaRDI QIDQ1196017

Alastair D. King, Dieter Kotschick

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165019

zbMATH Keywords

scalar curvaturedeformation theorymoduli spacesconformal structureanti-self-dual part

Mathematics Subject Classification ID

Related Items (12)

Equivariant connected sums of compact self-dual manifolds ⋮ Anti-self-dual orbifolds with cyclic quotient singularities ⋮ Infinitesimal automorphisms and deformations of parabolic geometries ⋮ Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023 ⋮ An index theorem for anti-self-dual orbifold-cone metrics ⋮ Topological conformal gravity in four dimensions ⋮ Orthogonal almost-complex structures of minimal energy ⋮ Appearance of universal bundle structure in four-dimensional topological gravity ⋮ The WeitzenbÕck formula for the Bach operator ⋮ Moduli spaces of critical Riemannian metrics in dimension four ⋮ Asymptotics of the self-dual deformation complex ⋮ On the scalar curvature of self-dual manifolds

Cites Work

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• The index of elliptic operators. III
• On conformally-flat spaces in the large
• The Yamabe problem
• Connected sums of self-dual manifolds and deformations of singular spaces
• Linear field equations on self-dual spaces
• Kählerian Twistor Spaces
• The Manifold of Conformally Equivalent Metrics
• Self-duality in four-dimensional Riemannian geometry
• The deformation theory of representations of fundamental groups of compact Kähler manifolds
• Compact four-dimensional Einstein manifolds

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