Geodesic
Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces
Alexander Isaev1
1Dept. of Mathematics, Australian National University, Canberra, ACT 0200, Australia
Journal of Lie Theory, Tome 16 (2006) no. 3, pp. 407-426

Voir la notice de l'article provenant de la source Heldermann Verlag

We introduce analogues of a map due to H. Rossi ["Attaching analytic spaces to an analytic space along a pseudoconcave boundary", in: Proc. Conf. Complex Analysis, Minneapolis 1964, Springer-Verlag 1965, 242--256] and show how they can be used to explicitly determine all covers of certain homogeneous strongly pseudoconvex 3-dimensional hypersurfaces that appear in the classification obtained by E. Cartan in 1932.
Classification : 53C30, 32V05
Mots-clés : Homogeneous 3-dimensional CR-manifolds, Rossi's example

Alexander Isaev  1

1 Dept. of Mathematics, Australian National University, Canberra, ACT 0200, Australia 
Alexander Isaev. Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces. Journal of Lie Theory, Tome 16 (2006) no. 3, pp. 407-426. http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a0/
@article{JOLT_2006_16_3_a0,
     author = {Alexander Isaev},
     title = {Analogues of {Rossi's} {Map} and {E.} {Cartan's} {Classification} of {Homogeneous} {Strongly} {Pseudoconvex} {3-Dimensional} {Hypersurfaces}},
     journal = {Journal of Lie Theory},
     pages = {407--426},
     year = {2006},
     volume = {16},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a0/}
}
TY  - JOUR
AU  - Alexander Isaev
TI  - Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces
JO  - Journal of Lie Theory
PY  - 2006
SP  - 407
EP  - 426
VL  - 16
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a0/
ID  - JOLT_2006_16_3_a0
ER  - 
%0 Journal Article
%A Alexander Isaev
%T Analogues of Rossi's Map and E. Cartan's Classification of Homogeneous Strongly Pseudoconvex 3-Dimensional Hypersurfaces
%J Journal of Lie Theory
%D 2006
%P 407-426
%V 16
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2006_16_3_a0/
%F JOLT_2006_16_3_a0