Classification of the Weyl curvature spinors of neutral metrics in four dimensions

DOI10.1016/j.geomphys.2005.11.008zbMath1110.53016OpenAlexW2765059995MaRDI QIDQ2507662

Peter R. Law

Publication date: 5 October 2006

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2005.11.008

zbMATH Keywords

neutral geometry in four dimensionsneutral geometry in four dimensions Weyl curvature spinorsWeyl curvature spinors

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Clifford algebras, spinors (15A66) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (9)

The classification of the Weyl conformal tensor in 4-dimensional manifolds of neutral signature ⋮ A generalization of the Goldberg-Sachs theorem and its consequences ⋮ The causal topology of neutral 4-manifolds with null boundary ⋮ Weyl tensor classification in four-dimensional manifolds of all signatures ⋮ A spinor approach to Walker geometry ⋮ Anti-self-dual conformal structures with null Killing vectors from projective structures ⋮ Spin coefficients for four-dimensional neutral metrics, and null geometry ⋮ Algebraically special, real alpha-geometries ⋮ Some comparisons of the Weyl conformal tensor and its classification in 4-dimensional Lorentz, neutral or positive definite signatures

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