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

Canadian mathematical bulletin

关键词: deformations;    embeddability;    complex ellipsoids;   

DOI  :  10.4153/CMB-2004-014-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

We prove that a class of perturbations of standard ${m CR}$structure on the boundary of three-dimensional complex ellipsoid$E_{p,q}$ can be realized as hypersurfaces on $mathbb{C}^2$, whichgeneralizes the result of Burns and Epstein on the embeddability ofsome perturbations of standard ${m CR}$ structure on $S^3$.

【 授权许可】

Unknown