no. 1
Invariant measures for the stable foliation on negatively curved periodic manifolds
[Mesures invariantes pour le feuilletage stable d’une variété périodique de courbure négative]
Ledrappier, François1
1 University of Notre Dame Department of Mathematics Notre Dame, IN 46556-4618 (USA)
Annales de l'Institut Fourier, Tome 58 (2008) no. 1, pp. 85-105.

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.

DOI : 10.5802/aif.2345
Classification : 37D40, 37A40, 53C12
Keywords: Invariant measure, stable foliation, negative curvature
Mot clés : mesure invariante, feuilletage stable, courbure négative

Ledrappier, François 1

1 University of Notre Dame Department of Mathematics Notre Dame, IN 46556-4618 (USA) 
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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. https://aif.centre-mersenne.org/articles/10.5802/aif.2345/

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