Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions
DOI10.1007/s10231-021-01133-2zbMath1491.53077arXiv2009.10935OpenAlexW3195968861MaRDI QIDQ2118034
Publication date: 22 March 2022
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.10935
conformal geometryEinstein metricsLorentzian geometryalmost Kähler-Einstein metricsalmost CR geometryalmost Robinson structurescongruences of null geodesics
Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Kähler-Einstein manifolds (32Q20) Almost complex manifolds (32Q60) CR structures, CR operators, and generalizations (32V05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) (G)-structures (53C10) Conformal structures on manifolds (53C18)
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