A remark on the global embedding problem for three-dimensional CR manifolds-Reference-Cited by-同舟云学术

A remark on the global embedding problem for three-dimensional CR manifolds

Published:1988 Issue:4 Volume:102 Page:888-892
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Barrett David E.

Abstract

Examples are constructed of compact strictly pseudoconvex real analytic three-dimensional CR manifolds which admit no nonconstant CR functions. Also, the embedding problem for certain CR manifolds is shown to be related to a result of Hadamard on immersed convex hypersurfaces in R n {{\mathbf {R}}^n} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-102-04/S0002-9939-1988-0934861-9/S0002-9939-1988-0934861-9.pdf

Reference11 articles.

1. Projective embedding of pseudoconcave spaces;Andreotti, Aldo;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3),1970

2. Global behavior of some tangential Cauchy-Riemann equations;Burns, Daniel M., Jr.,1979

3. E. Bedford and J. Dadok, personal communication.

4. Intégration des équations de Cauchy-Riemann induites formelles;Boutet de Monvel, L.,1975

5. On boundaries of complex analytic varieties. I;Harvey, F. Reese;Ann. of Math. (2),1975

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