A criterion for local embeddability of three-dimensional CR structures

DOI10.1007/S10231-018-0785-1zbMath1423.32031OpenAlexW2886549580WikidataQ129409062 ScholiaQ129409062MaRDI QIDQ1736336

Gerd Schmalz, Masoud Ganji

Publication date: 26 March 2019

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-018-0785-1

zbMATH Keywords

Lorentzian metricsCR structureembeddability of CR manifoldsshearfree null congruence

Mathematics Subject Classification ID

Embeddings of CR manifolds (32V30) CR structures, CR operators, and generalizations (32V05) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

Almost Robinson geometries ⋮ Twisting non-shearing congruences of null geodesics, almost CR structures and Einstein metrics in even dimensions

Cites Work

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• Sharp version of the Goldberg-Sachs theorem
• The canonical bundle and realizable CR hypersurfaces
• On the Fefferman class of metrics associated with a three-dimensional CR space
• New examples of non-locally embeddable CR structures (with no non- constant CR distributions)
• Non-realizable CR structures
• On transversally symmetric pseudo-Einstein and Fefferman-Einstein spaces
• Introduction to Smooth Manifolds
• Einstein's equations and realizability of CR manifolds
• CR-tractors and the Fefferman space
• Einstein's equations and the embedding of 3-dimensional CR manifolds
• Robinson manifolds and Cauchy–Riemann spaces

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