Geodesic
Hyperbolic spaces in Teichmüller spaces
Journal of the European Mathematical Society, Tome 16 (2014) no. 12, pp. 2669-2692

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

We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic space Hn almost-isometrically embeds into the Teichmüller space of S, with quasi-convex image lying in the thick part. As a consequence, Hn quasi-isometrically embeds in the curve complex of S.
DOI : 10.4171/jems/495
Classification : 30-XX, 32-XX
Keywords: Almost-isometric embedding, Teichmüller space, hyperbolic space, quadratic differential, complex of curves 
@article{JEMS_2014_16_12_a3,
     author = {Christopher J. Leininger and Saul Schleimer},
     title = {Hyperbolic spaces in {Teichm\"uller} spaces},
     journal = {Journal of the European Mathematical Society},
     pages = {2669--2692},
     publisher = {mathdoc},
     volume = {16},
     number = {12},
     year = {2014},
     doi = {10.4171/jems/495},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/495/}
}
TY  - JOUR
AU  - Christopher J. Leininger
AU  - Saul Schleimer
TI  - Hyperbolic spaces in Teichmüller spaces
JO  - Journal of the European Mathematical Society
PY  - 2014
SP  - 2669
EP  - 2692
VL  - 16
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/495/
DO  - 10.4171/jems/495
ID  - JEMS_2014_16_12_a3
ER  - 
%0 Journal Article
%A Christopher J. Leininger
%A Saul Schleimer
%T Hyperbolic spaces in Teichmüller spaces
%J Journal of the European Mathematical Society
%D 2014
%P 2669-2692
%V 16
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/495/
%R 10.4171/jems/495
%F JEMS_2014_16_12_a3
Christopher J. Leininger; Saul Schleimer. Hyperbolic spaces in Teichmüller spaces. Journal of the European Mathematical Society, Tome 16 (2014) no. 12, pp. 2669-2692. doi: 10.4171/jems/495

Cité par Sources :