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Embeddability of Some Three-Dimensional Weakly Pseudoconvex $\text{CR}$ Structures
Published online by Cambridge University Press: 20 November 2018
Abstract
We prove that a class of perturbations of standard $\text{CR}$ structure on the boundary of threedimensional 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 $\text{CR}$ structure on ${{S}^{3}}$.
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- Research Article
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- Copyright © Canadian Mathematical Society 2004
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