Almost Robinson geometries

DOI10.1007/s11005-023-01667-xzbMath1526.53065arXiv2102.05634OpenAlexW3126885638MaRDI QIDQ6113196

Arman Taghavi-Chabert, Thomas Leistner, Anna Fino

Publication date: 10 July 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.05634

zbMATH Keywords

Lorentzian manifoldsintrinsic torsionalmost Robinson structurescongruences of null geodesics

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) (G)-structures (53C10) Conformal structures on manifolds (53C18)

Related Items (1)

Supersymmetric Kundt four manifolds and their spinorial evolution flows

Cites Work

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• Pure spinors, intrinsic torsion and curvature in even dimensions
• The complex Goldberg-Sachs theorem in higher dimensions
• Twistor geometry of null foliations in complex Euclidean space
• Sharp version of the Goldberg-Sachs theorem
• A holonomy characterisation of Fefferman spaces
• Cadabra: a field-theory motivated symbolic computer algebra system
• A spinor approach to general relativity
• Quelques propriétés fondamentales des ensembles analytiques-réels
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes)
• Killing-Yano tensors and multi-Hermitian structures
• A gauged Fefferman construction for partially integrable CR geometry
• Orthogonal complex structures on domains in \(\mathbb R^4\)
• Republication of: a theorem on Petrov types
• Republication of: A new class of vacuum solutions of the Einstein field equations
• Integrable optical geometry
• On the Robinson theorem and shearfree geodesic null congruences
• Deformations of the Hodge map and optical geometry
• Black holes in higher dimensional space-times
• An ultra-hyperbolic analogue of the Robinson-Kerr theorem
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains
• Correction to 'Monge-Ampère equations, the Bergman kernel, and geometry of pseudoconvex domains'
• Rotating, charged, and uniformly accelerating mass in general relativity
• Pseudo-hermitian structures on a real hypersurface
• The real geometry of complex space-times
• Robinson manifolds as the Lorentzian analogs of Hermite manifolds.
• CR-geometry and shearfree Lorentzian geometry
• A criterion for local embeddability of three-dimensional CR structures
• The local embedding problem for optical structures
• Thomas's structure bundle for conformal, projective and related structures
• Optical geometries and related structures
• Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry
• Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions
• Pure spinors, intrinsic torsion and curvature in odd dimensions
• On transversally symmetric pseudo-Einstein and Fefferman-Einstein spaces
• Explicit algebraic classification of Kundt geometries in any dimension
• A Goldberg–Sachs theorem in dimension three
• A canonical connection on sub-Riemannian contact manifolds
• Optical structures, algebraically special spacetimes, and the Goldberg–Sachs theorem in five dimensions
• Einstein's equations and realizability of CR manifolds
• Complexification, twistor theory and harmonic maps from Riemann surfaces
• Invariants of General Relativity and the Classification of Spaces
• Geometry and symmetries of null G-structures
• Robinson–Trautman spacetimes in higher dimensions
• Ricci identities in higher dimensions
• Algebraically special twisting gravitational fields and CR structures
• CR-tractors and the Fefferman space
• Einstein's equations and the embedding of 3-dimensional CR manifolds
• General Kundt spacetimes in higher dimensions
• Conformal geometry of flows in n dimensions
• A generalised Kerr-Robinson theorem
• On Sparling's Characterization of Fefferman Metrics
• Simple spinors and real structures
• Isotropic geometry and twistors in higher dimensions. I. The generalized Klein correspondence and spinor flags in even dimensions
• Pure spinors in odd dimensions
• Twistor bundles, Einstein equations and real structures
• The Riemannian Goldberg–Sachs Theorem
• Exact Solutions of Einstein's Field Equations
• All supersymmetric solutions of minimal supergravity in six dimensions
• A bestiary of higher-dimensional Taub–NUT–AdS spacetimes
• Robinson manifolds and Cauchy–Riemann spaces
• Complex structures on the Iwasawa manifold
• The asymptotic structure of algebraically special spacetimes
• Fock space description of simple spinors
• Isotropic geometry and twistors in higher dimensions. II. Odd dimensions, reality conditions, and twistor superspaces
• Gauge and optical aspects of gravitation
• Algebraic structure of Robinson–Trautman and Kundt geometries in arbitrary dimension
• Type D Einstein spacetimes in higher dimensions
• Robinson–Trautman spacetimes with an electromagnetic field in higher dimensions
• General Kerr–NUT–AdS metrics in all dimensions
• Twistor Algebra
• Empty-Space Generalization of the Schwarzschild Metric
• Pure radiation field solutions of the Einstein equations
• Algebraically special solutions of the Einstein equations with pure radiation fields
• The P'-operator, the Q'-curvature, and the CR tractor calculus
• Empty space-times admitting a three parameter group of motions

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