Simple examples of nonrealizable CR hypersurfaces
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- by Howard Jacobowitz PDF
- Proc. Amer. Math. Soc. 98 (1986), 467-468 Request permission
Abstract:
A new proof is provided of a nonrealizability result due to Hill, Penrose, and Sparling. This result is then generalized to higher dimensions: Each ${\partial _b}$-cohomology class in ${H^{0,1}}(M)$ can be used to define a nonrealizable CR structure on $M \times {{\mathbf {R}}^2}$.References
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M. Eastwood, The Hill-Penrose-Sparling C.R.-folds, Twistor Newsletter 18 (1984), 16.
F. Farris, An intrinsic construction of the Fefferman metric (to appear).
- Howard Jacobowitz, The canonical bundle and realizable CR hypersurfaces, Pacific J. Math. 127 (1987), no. 1, 91–101. MR 876018
- Roger Penrose, Physical space-time and nonrealizable CR-structures, Bull. Amer. Math. Soc. (N.S.) 8 (1983), no. 3, 427–448. MR 693958, DOI 10.1090/S0273-0979-1983-15109-1
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 467-468
- MSC: Primary 32G07; Secondary 53C15
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857942-5
- MathSciNet review: 857942