On démontre deux résultats de rigidité pour des groupes d'automorphismes de l'espace des laminations géodésiques mesurées d'une surface hyperbolique fermée orientable S et de l'espace des laminations géodésiques mesurées projectives de S. Les résultats concernent les automorphismes de préservant le nombre d'intersection géométrique entre laminations et les homéomorphismes de préservant les ensembles de zéros de ces fonctions.
We prove two rigidity results for automorphism groups of the spaces of measured laminations on a closed orientable hyperbolic surface S and of projective measured laminations on this surface. The results concern the homeomorphisms of that preserve the geometric intersection between laminations and the homeomorphisms of that preserve the zero sets of these intersection functions.
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@article{CRMATH_2018__356_8_899_0,
author = {Ohshika, Ken'ichi and Papadopoulos, Athanase},
title = {Hom\'eomorphismes et nombre d'intersection},
journal = {Comptes Rendus. Math\'ematique},
pages = {899--902},
publisher = {Elsevier},
volume = {356},
number = {8},
year = {2018},
doi = {10.1016/j.crma.2018.06.009},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/j.crma.2018.06.009/}
}
TY - JOUR AU - Ohshika, Ken'ichi AU - Papadopoulos, Athanase TI - Homéomorphismes et nombre d'intersection JO - Comptes Rendus. Mathématique PY - 2018 SP - 899 EP - 902 VL - 356 IS - 8 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2018.06.009/ DO - 10.1016/j.crma.2018.06.009 LA - fr ID - CRMATH_2018__356_8_899_0 ER -
%0 Journal Article %A Ohshika, Ken'ichi %A Papadopoulos, Athanase %T Homéomorphismes et nombre d'intersection %J Comptes Rendus. Mathématique %D 2018 %P 899-902 %V 356 %N 8 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2018.06.009/ %R 10.1016/j.crma.2018.06.009 %G fr %F CRMATH_2018__356_8_899_0
Ohshika, Ken'ichi; Papadopoulos, Athanase. Homéomorphismes et nombre d'intersection. Comptes Rendus. Mathématique, Tome 356 (2018) no. 8, pp. 899-902. doi : 10.1016/j.crma.2018.06.009. http://www.numdam.org/articles/10.1016/j.crma.2018.06.009/
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