Wave equations and the LeBrun-Mason correspondence

DOI10.1090/S0002-9947-2012-05509-7zbMath1272.53041arXiv0907.0928OpenAlexW2020915596MaRDI QIDQ2841370

Fuminori Nakata

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0928

zbMATH Keywords

wave equationRadon transformindefinite metricholomorphic disksmonopole equationtwistor method

Mathematics Subject Classification ID

Wave equation (35L05) Radon transform (44A12) Twistor methods in differential geometry (53C28) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

An integral transform on a cylinder and the twistor correspondence ⋮ A CONSTRUCTION OF SOLUTIONS TO THE WAVE EQUATION ON THE DE SITTER 4-SPACE VIA TWISTOR METHOD

Cites Work

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• The Einstein-Weyl equations, scattering maps, and holomorphic disks
• Nonlinear gravitons, null geodesics, and holomorphic disks
• Singular self-dual Zollfrei metrics and twistor correspondence
• A construction of Einstein-Weyl spaces via Lebrun-Mason type twistor correspondence
• Eigenspaces of invariant differential operators on an affine symmetric space
• The Radon transform on Zoll surfaces
• Nonlinear gravitons and curved twistor theory
• Eigenfunctions of the Laplacian on a real hyperboloid of one sheet
• The Radon transform.
• Zoll manifolds and complex surfaces.
• Explicit self-dual metrics on \({\mathbb{C}}{\mathbb{P}}_ 2\#\cdots \#{\mathbb{C}}{\mathbb{P}}_ 2\)
• Selfdual 4-manifolds, projective surfaces, and the Dunajski-West construction
• Self-dual Zollfrei conformal structures with \(\alpha \)-surface foliation
• Anti-self-dual conformal structures with null Killing vectors from projective structures
• Compact scalar-flat indefinite Kähler surfaces with Hamiltonian \(S^{1}\)-symmetry
• Integrable Yang–Mills–Higgs equations in three-dimensional de Sitter space–time
• Global anti-self-dual Yang-Mills fields in split signature and their scattering
• Minitwistor spaces and Einstein-Weyl spaces
• Self-duality in four-dimensional Riemannian geometry
• The Funk transform as a Penrose transform
• Cosmology in (2 + 1) -Dimensions, Cyclic Models, and Deformations of M2,1. (AM-121)

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