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

Published online by Cambridge University Press:  20 November 2018

Wei Wang
Wei Wang*
Affiliation:
Department of Mathematics Zhejiang University Zhejiang 310028, People's Republic of China, e-mail: wangf@mail.hz.zj.cn Department of Mathematics University of Toronto Toronto, Ontario M5S 3G3, e-mail: weiwang@math.toronto.edu
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Abstract

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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 ${{S}^{3}}$.

Keywords

32V3032G0732V35deformationsembeddabilitycomplex ellipsoids
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 1 , 01 March 2004 , pp. 133 - 143
Copyright
Copyright © Canadian Mathematical Society 2004

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