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# Embeddability of Some Three-Dimensional Weakly Pseudoconvex ${\rm CR}$ Structures

Published:2004-03-01
Printed: Mar 2004
• Wei Wang
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## 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

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