Mesures quasi-invariantes pour un feuilletage et limites de moyennes longitudinales |
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Authors: | Barbara Schapira |
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Affiliation: | Mapmo (UMR 6628), faculté des sciences, Université d''Orléans, BP 6759, 45067 Orléans cedex 2, France |
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Abstract: | In this Note, we generalize a result of Goodman–Plante, who characterizes limit points of averaging sequences as holonomy invariant transverse measures. We prove an analogous result for some leafwise averages, weighted with a cocycle Δ, whose limit points are a product of a quasi-invariant transverse measure with respect to Δ with a leafwise measure. To cite this article: B. Schapira, C. R. Acad. Sci. Paris, Ser. I 336 (2003). |
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