Deformations of the Hodge map and optical geometry

DOI10.1016/0393-0440(84)90005-6zbMath0591.53055OpenAlexW2019375825MaRDI QIDQ1074883

Andrzej Trautman

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0393-0440(84)90005-6

zbMATH Keywords

geodesic congruencesoptical geometryYang-Mills equationsoptical solutions

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Hodge theory in global analysis (58A14) Electromagnetic theory (general) (78A25)

Related Items (10)

Null solutions of the Yang-Mills equations ⋮ A geometric look at MHD and the Braginsky dynamo ⋮ Optical geometries and related structures ⋮ Arnold stability and Misiołek curvature ⋮ Gravitational field equations on Fefferman space-times ⋮ Almost Robinson geometries ⋮ Morse-Novikov cohomology of almost nonnegatively curved manifolds ⋮ Cartan's chains and Lorentz geometry ⋮ Integrable optical geometry ⋮ Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions

Cites Work

• Conformal geometry of flows in n dimensions
• Properties of shear-free congruences of null geodesics
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