Embeddability of Some Three-Dimensional Weakly Pseudoconvex $\text{CR}$ Structures
Canadian mathematical bulletin, Tome 47 (2004) no. 1, pp. 133-143

Voir la notice de l'article provenant de la source Cambridge

DOI

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 ${{S}^{3}}$ .
DOI : 10.4153/CMB-2004-014-7
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  - 
%0 Journal Article
%A Wang, Wei
%T Embeddability of Some Three-Dimensional Weakly Pseudoconvex $\text{CR}$ Structures
%J Canadian mathematical bulletin
%D 2004
%P 133-143
%V 47
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-014-7/
%R 10.4153/CMB-2004-014-7
%F 10_4153_CMB_2004_014_7

Cité par Sources :