Geodesic
On proper $\mathbb R$-actions on hyperbolic Stein surfaces
Documenta mathematica, Tome 14 (2009), pp. 673-689
Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

In this paper we investigate proper R-actions on hyperbolic Stein surfaces and prove in particular the following result: Let D⊂C2 be a simply-connected bounded domain of holomorphy which admits a proper R-action by holomorphic transformations. The quotient D/Z with respect to the induced proper Z-action is a Stein manifold. A normal form for the domain D is deduced.
DOI : 10.4171/dm/285
Classification : 32E10, 32M05, 32Q45, 32T05
Mots-clés : proper actions, Stein manifolds, bounded domains of holomorphy, quotient by a discrete group 
@article{10_4171_dm_285,
     author = {Christian Miebach and Karl Oeljeklaus},
     title = {On proper $\mathbb R$-actions on hyperbolic {Stein} surfaces},
     journal = {Documenta mathematica},
     pages = {673--689},
     year = {2009},
     volume = {14},
     doi = {10.4171/dm/285},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/285/}
}
TY  - JOUR
AU  - Christian Miebach
AU  - Karl Oeljeklaus
TI  - On proper $\mathbb R$-actions on hyperbolic Stein surfaces
JO  - Documenta mathematica
PY  - 2009
SP  - 673
EP  - 689
VL  - 14
UR  - http://geodesic.mathdoc.fr/articles/10.4171/dm/285/
DO  - 10.4171/dm/285
ID  - 10_4171_dm_285
ER  - 
%0 Journal Article
%A Christian Miebach
%A Karl Oeljeklaus
%T On proper $\mathbb R$-actions on hyperbolic Stein surfaces
%J Documenta mathematica
%D 2009
%P 673-689
%V 14
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/285/
%R 10.4171/dm/285
%F 10_4171_dm_285
Christian Miebach; Karl Oeljeklaus. On proper $\mathbb R$-actions on hyperbolic Stein surfaces. Documenta mathematica, Tome 14 (2009), pp. 673-689. doi: 10.4171/dm/285

Cité par Sources :