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Search: MSC category 32V30 ( Embeddings of CR manifolds )

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1. CMB 2004 (vol 47 pp. 133)

Wang, Wei
Embeddability of Some Three-Dimensional Weakly Pseudoconvex ${\rm CR}$ Structures
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
Categories:32V30, 32G07, 32V35

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