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Embeddability of Some Three-Dimensional Weakly Pseudoconvex ${\rm CR}$ Structures |
Canad. Math. Bull. 47(2004), 133-143
Published:2004-03-01
Printed: Mar 2004
Printed: Mar 2004
- Wei Wang
Abstract
We prove that a class of perturbations of standard ${\rm CR}$
structure on the boundary of three-dimensional complex ellipsoid
$E_{p,q}$ can be realized as hypersurfaces on $\mathbb{C}^2$, which
generalizes the result of Burns and Epstein on the embeddability of
some perturbations of standard ${\rm CR}$ structure on $S^3$.
| Keywords: | deformations, embeddability, complex ellipsoids |
| MSC Classifications: |
32V30 - Embeddings of CR manifolds 32G07 - Deformations of special (e.g. CR) structures 32V35 - Finite type conditions on CR manifolds |