Complex characteristic coordinates and tangential Cauchy-Riemann equations
Aldo Andreotti, C. Denson Hill (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Embeddability of abstract CR structures and integrability of related systems”
Complex characteristic coordinates and tangential Cauchy-Riemann equations
On the hull of holomorphy of an -manifold in
Carlos E. Kenig, Sidney M. Webster (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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G-structures of second order.
Demetra Demetropoulou Psomopoulou (1992)
Publicacions Matemàtiques
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We introduce a generalization to the second order of the notion of the G-structure, the so called generalized almost tangent structure. For this purpose, the concepts of the second order frame bundle H(V), its structural group L and its associated tangent bundle of second order T(V) of a differentiable manifold V are described from the point of view that is used. Then, a G-structure of second order -called G -structure- is constructed on V by an endorphism...
Riemann maps in almost complex manifolds
Bernard Coupet, Hervé Gaussier, Alexandre Sukhov (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions are applied to study the local geometry of almost complex manifolds and their morphisms.
Non embeddable CR-structures
François Trèves (1981)
Journées équations aux dérivées partielles
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Contact geometry and CR-structures on spheres
John Bland, Tom Duchamp (1995)
Banach Center Publications
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A normal form for small CR-deformations of the standard CR-structure on the (2n+1)-sphere is presented. The space of normal forms is parameterized by a single function on the sphere. For n>1, the normal form is used to obtain explicit embeddings into . For n=1, the cohomological obstruction to embeddability is identified.
New examples of non-locally embeddable structures (with no non-constant distributions)
Jean-Pierre Rosay (1989)
Annales de l'institut Fourier
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We construct examples of non-locally embeddable 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.