Embeddability of Some Three-Dimensional Weakly Pseudoconvex $\text{CR}$ Structures
Canadian mathematical bulletin, Tome 47 (2004) no. 1, pp. 133-143
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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 ${{S}^{3}}$ .
Mots-clés :
32V30, 32G07, 32V35, deformations, embeddability, complex ellipsoids
Wang, Wei. Embeddability of Some Three-Dimensional Weakly Pseudoconvex $\text{CR}$ Structures. Canadian mathematical bulletin, Tome 47 (2004) no. 1, pp. 133-143. doi: 10.4153/CMB-2004-014-7
@article{10_4153_CMB_2004_014_7,
author = {Wang, Wei},
title = {Embeddability of {Some} {Three-Dimensional} {Weakly} {Pseudoconvex} $\text{CR}$ {Structures}},
journal = {Canadian mathematical bulletin},
pages = {133--143},
year = {2004},
volume = {47},
number = {1},
doi = {10.4153/CMB-2004-014-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-014-7/}
}
TY - JOUR
AU - Wang, Wei
TI - Embeddability of Some Three-Dimensional Weakly Pseudoconvex $\text{CR}$ Structures
JO - Canadian mathematical bulletin
PY - 2004
SP - 133
EP - 143
VL - 47
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-014-7/
DO - 10.4153/CMB-2004-014-7
ID - 10_4153_CMB_2004_014_7
ER -
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