Nous décrivons les mesures réversibles associées au feuilletage stable du flot géodésique sur une variété périodique de courbure négative. Nous étendons ainsi ce qui était connu pour les surfaces hyperboliques aux cas de courbure variable et de dimension supérieure.
We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.
@article{AIF_2008__58_1_85_0,
author = {Ledrappier, Fran\c cois},
title = {Invariant measures for the stable foliation on negatively curved periodic manifolds},
journal = {Annales de l'Institut Fourier},
volume = {58},
year = {2008},
pages = {85-105},
doi = {10.5802/aif.2345},
zbl = {1149.37022},
mrnumber = {2401217},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_2008__58_1_85_0}
}
Ledrappier, François. Invariant measures for the stable foliation on negatively curved periodic manifolds. Annales de l'Institut Fourier, Tome 58 (2008) pp. 85-105. doi : 10.5802/aif.2345. http://gdmltest.u-ga.fr/item/AIF_2008__58_1_85_0/
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