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ArticleOriginal scientific text

Title

Contact geometry and CR-structures on spheres

Authors 1, 2

Affiliations

  1. Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1A1
  2. Department of Mathematics, University of Washington GN-50, Seattle, Washington 98195, U.S.A.

Abstract

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

Keywords

ENG
deformation theory, convex domains, moduli, Riemann maps, contact geometry, CR-structures

Bibliography

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Banach Center Publications
1995/31/1
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Pages:
99-113
Main language of publication
English
Published
1995
Exact and natural sciences