Invariant measures for the stable foliation on negatively curved periodic manifolds

DOI10.5802/aif.2345zbMath1149.37022OpenAlexW2463627690MaRDI QIDQ2482855

François Ledrappier

Publication date: 24 April 2008

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2008__58_1_85_0

zbMATH Keywords

ergodicityhorospheresnegative curvatureBusemann functionsalpha-conformal measureleaf Laplacianreversible and harmonic measuresstable and strong stable Anosov foliations

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Nonsingular (and infinite-measure preserving) transformations (37A40)

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Classification of joinings for Kleinian groups ⋮ Horospherically invariant measures and finitely generated Kleinian groups ⋮ Horospherical invariant measures and a rank dichotomy for Anosov groups ⋮ Horocycle Flows on Surfaces with Infinite Genus ⋮ Invariant Radon measures on measured lamination space ⋮ Invariant Radon measures for Unipotent flows and products of Kleinian groups

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