Geodesic
Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces
Sébastien Alvarez1 ; Joaquín Brum1
1Universidad de la República, Montevideo, Uruguay
Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 179-223

Voir la notice de l'article provenant de la source EMS Press

DOI

We give the topological obstructions to be a leaf in a minimal lamination by hyperbolic surfaces whose generic leaf is homeomorphic to a Cantor tree. Then, we show that all allowed topological types can be simultaneously embedded in the same lamination. This result, together with results in [arXiv:1906.10029] and [Comment. Math. Helv. 78 (2003), 845–864], completes the panorama of understanding which topological surfaces can be leaves in minimal hyperbolic surface laminations when the topology of the generic leaf is given. In all cases, all possible topologies can be realized simultaneously.
DOI : 10.4171/ggd/645
Classification : 57-XX, 37-XX
Mots-clés : Hyperbolic surface laminations, topology of surfaces, coverings of graphs

Sébastien Alvarez  1   ; Joaquín Brum  1

1 Universidad de la República, Montevideo, Uruguay 
Sébastien Alvarez; Joaquín Brum. Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces. Groups, geometry, and dynamics, Tome 16 (2022) no. 1, pp. 179-223. doi: 10.4171/ggd/645
@article{10_4171_ggd_645,
     author = {S\'ebastien Alvarez and Joaqu{\'\i}n Brum},
     title = {Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces},
     journal = {Groups, geometry, and dynamics},
     pages = {179--223},
     year = {2022},
     volume = {16},
     number = {1},
     doi = {10.4171/ggd/645},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/645/}
}
TY  - JOUR
AU  - Sébastien Alvarez
AU  - Joaquín Brum
TI  - Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces
JO  - Groups, geometry, and dynamics
PY  - 2022
SP  - 179
EP  - 223
VL  - 16
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ggd/645/
DO  - 10.4171/ggd/645
ID  - 10_4171_ggd_645
ER  - 
%0 Journal Article
%A Sébastien Alvarez
%A Joaquín Brum
%T Topology of leaves for minimal laminations by non-simply-connected hyperbolic surfaces
%J Groups, geometry, and dynamics
%D 2022
%P 179-223
%V 16
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4171/ggd/645/
%R 10.4171/ggd/645
%F 10_4171_ggd_645

Cité par Sources :