Displaying similar documents to “Contact geometry and CR-structures on spheres”

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.

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.

On left invariant CR structures on SU ( 2 )

Andreas Čap (2006)

Archivum Mathematicum

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There is a well known one–parameter family of left invariant CR structures on S U ( 2 ) S 3 . We show how purely algebraic methods can be used to explicitly compute the canonical Cartan connections associated to these structures and their curvatures. We also obtain explicit descriptions of tractor bundles and tractor connections.