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

Barrett, David E.

doi:10.1090/S0002-9939-1988-0934861-9

A remark on the global embedding problem for three-dimensional CR manifolds
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Proc. Amer. Math. Soc. 102 (1988), 888-892 Request permission

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 ${{\mathbf {R}}^n}$.

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