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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 deformations, embeddability, complex ellipsoids
MSC Classifications: 32V30, 32G07, 32V35 show english descriptions Embeddings of CR manifolds
Deformations of special (e.g. CR) structures
Finite type conditions on CR manifolds
32V30 - Embeddings of CR manifolds
32G07 - Deformations of special (e.g. CR) structures
32V35 - Finite type conditions on CR manifolds
 

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