Robinson manifolds and Cauchy–Riemann spaces

DOI10.1088/0264-9381/19/2/201zbMath1008.53054OpenAlexW2139420267MaRDI QIDQ4532757

Andrzej Trautman

Publication date: 18 July 2002

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/19/2/201

zbMATH Keywords

null Maxwell fieldsshear-free congruence of null geodesics

Mathematics Subject Classification ID

General relativity (83C99) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) CR structures, CR operators, and generalizations (32V05)

Related Items (11)

Pure spinors, intrinsic torsion and curvature in even dimensions ⋮ Robinson manifolds as the Lorentzian analogs of Hermite manifolds. ⋮ Geometry of all supersymmetric type I backgrounds ⋮ Almost Robinson geometries ⋮ The complex Goldberg-Sachs theorem in higher dimensions ⋮ On geometry of congruences of null strings in 4-dimensional complex and real pseudo-Riemannian spaces ⋮ On the bundle of null cones ⋮ A criterion for local embeddability of three-dimensional CR structures ⋮ Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry ⋮ Pure spinors, intrinsic torsion and curvature in odd dimensions ⋮ Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions

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