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Contact geometry and CR-structures on spheres

John BlandTom Duchamp — 1995

Banach Center Publications

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 n + 1 . For n=1, the cohomological obstruction to embeddability is identified.

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