Displaying similar documents to “Non embeddable CR-structures”

New examples of non-locally embeddable C R structures (with no non-constant C R distributions)

Jean-Pierre Rosay (1989)

Annales de l'institut Fourier

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We construct examples of non-locally embeddable C R structures. These examples may show some improvement on previous examples by Nirenberg, and Jacobowitz and Trèves. They are based on a simple construction which consists in gluing two embedded structures. And (this is our main point) we believe that these examples are very transparent, therefore easy to work with.

Embeddability of abstract CR structures and integrability of related systems

Salah Baouendi, Linda P. Rothschild (1987)

Annales de l'institut Fourier

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Necessary and sufficient conditions for local embeddability of abstract C R structures are expressed in terms of the commutation of the C R vector fields with a complex Lie algebra. These results extend to more general systems.