Holomorphic Curves in Lorentzian CR-Manifolds

DOI10.2307/1998956zbMath0517.32008OpenAlexW4244647659MaRDI QIDQ3665424

Robert L. Bryant

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998956

zbMATH Keywords

CR-structureprolongationLorentzian CR manifoldLorentzian hyperquadricparameter space of holomorphic curves

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (7)

The Cauchy-Riemann equations and differential geometry ⋮ Chains, Null-Chains, and CR Geometry ⋮ 3-folds CR-embedded in 5-dimensional real hyperquadrics ⋮ Holomorphic deformations of real-analytic CR maps and analytic regularity of CR mappings ⋮ Complexification, twistor theory and harmonic maps from Riemann surfaces ⋮ Elliptic Integrable Systems: a Comprehensive Geometric Interpretation ⋮ Twistor theory at fifty: from contour integrals to twistor strings

Cites Work

• Komplex-analytische Blätterung reeller Hyperflächen im \(C^n\)
• Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Real hypersurfaces in complex manifolds
• Minimal immersions of surfaces in Euclidean spheres
• ON A QUESTION OF HANS LEWY
• Twistor Algebra

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