Einstein's equations and the embedding of 3-dimensional CR manifolds

DOI10.1512/iumj.2008.57.3473zbMath1178.32021arXiv0709.3660OpenAlexW2062447804WikidataQ58879822 ScholiaQ58879822MaRDI QIDQ3627557

Jerzy Lewandowski, Paweł~ Nurowski, Clyde Denson Hill

Publication date: 13 May 2009

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.3660

zbMATH Keywords

Einstein equations\(CR\) embedding

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15) Embeddings of CR manifolds (32V30) CR functions (32V10)

Related Items (9)

Gravitational field equations on Fefferman space-times ⋮ Almost Robinson geometries ⋮ A criterion for local embeddability of three-dimensional CR structures ⋮ Null geodesic congruences, asymptotically-flat spacetimes and their physical interpretation ⋮ Sharp version of the Goldberg-Sachs theorem ⋮ Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry ⋮ The zero curvature equation for rigid CR-manifolds ⋮ Intrinsic geometry of oriented congruences in three dimensions ⋮ Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions

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