The Penrose transform in split signature

DOI10.1016/j.difgeo.2012.04.005zbMath1258.32006arXiv0812.3692OpenAlexW2075684109WikidataQ115356718 ScholiaQ115356718MaRDI QIDQ435215

Masood Aryapoor

Publication date: 11 July 2012

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.3692

zbMATH Keywords

Penrose transformsplit signature

Mathematics Subject Classification ID

Radon transform (44A12) Twistor theory, double fibrations (complex-analytic aspects) (32L25) Twistor methods in differential geometry (53C28) Integral geometry (53C65) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Homogeneous complex manifolds (32M10)

Related Items (2)

Self-dual Yang-Mills equations in split signature ⋮ Geometric properties of conformal transformations on \(\mathbb R^{p,q}\)

Cites Work

• Self-dual Yang-Mills equations in split signature
• An ultra-hyperbolic analogue of the Robinson-Kerr theorem
• Cohomology and massless fields
• Hyperfunction solutions of the zero-rest-mass field equations
• The Radon transform.
• Zero-energy fields on real projective space
• Real forms of the Radon-Penrose transform
• Global anti-self-dual Yang-Mills fields in split signature and their scattering
• The generalized Penrose-Ward transform
• Linear field equations on self-dual spaces
• Contour integrals for the ultrahyperbolic wave equation
• The Funk transform as a Penrose transform
• Inversion for the Radon line transform in higher dimensions
• COMPLEX ANALYSIS AND THE FUNK TRANSFORM
• On the Relative De Rham Sequence
• The Theory of Hyperfunctions on Totally Real Subsets of a Complex Manifold with Applications to Extension Problems
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