A Penrose transform for the twistor space of an even dimensional conformally flat Riemannian manifold

DOI10.1007/BF00132253zbMath0592.53032OpenAlexW2021980964WikidataQ115395206 ScholiaQ115395206MaRDI QIDQ1075606

Michael K. Murray

Publication date: 1986

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00132253

zbMATH Keywords

Dirac equationtwistor spaceholomorphic line bundleconformally flat manifoldPenrose transformconformally invariant Laplacian

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Global Riemannian geometry, including pinching (53C20) Holomorphic bundles and generalizations (32L05)

Related Items (7)

Semistrict higher gauge theory ⋮ The inverse Penrose transform on Riemannian twistor spaces ⋮ Hyper-Kähler metrics and a generalization of the Bogomolny equations ⋮ Conformally invariant first order equations, their analysis and geometry ⋮ Six-dimensional superconformal field theories from principal 3-bundles over twistor space ⋮ On twistors and conformal field theories from six dimensions ⋮ Higher groupoid bundles, higher spaces, and self-dual tensor field equations

Cites Work

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• Cohomology and massless fields
• A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds
• Linear field equations on self-dual spaces
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Self-duality in four-dimensional Riemannian geometry

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