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.
Keywords: Invariant measure, stable foliation, negative curvature
Mot clés : mesure invariante, feuilletage stable, courbure négative
@article{AIF_2008__58_1_85_0, author = {Ledrappier, Fran\c{c}ois}, title = {Invariant measures for the stable foliation on negatively curved periodic manifolds}, journal = {Annales de l'Institut Fourier}, pages = {85--105}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {58}, number = {1}, year = {2008}, doi = {10.5802/aif.2345}, zbl = {1149.37022}, mrnumber = {2401217}, language = {en}, url = {http://archive.numdam.org/articles/10.5802/aif.2345/} }
TY - JOUR AU - Ledrappier, François TI - Invariant measures for the stable foliation on negatively curved periodic manifolds JO - Annales de l'Institut Fourier PY - 2008 SP - 85 EP - 105 VL - 58 IS - 1 PB - Association des Annales de l’institut Fourier UR - http://archive.numdam.org/articles/10.5802/aif.2345/ DO - 10.5802/aif.2345 LA - en ID - AIF_2008__58_1_85_0 ER -
%0 Journal Article %A Ledrappier, François %T Invariant measures for the stable foliation on negatively curved periodic manifolds %J Annales de l'Institut Fourier %D 2008 %P 85-105 %V 58 %N 1 %I Association des Annales de l’institut Fourier %U http://archive.numdam.org/articles/10.5802/aif.2345/ %R 10.5802/aif.2345 %G en %F 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) no. 1, pp. 85-105. doi : 10.5802/aif.2345. http://archive.numdam.org/articles/10.5802/aif.2345/
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