Mesures quasi-invariantes pour un feuilletage et limites de moyennes longitudinales. (Quasi-invariant measures for a foliation and limits of leafwise averages) (Q1408083)
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scientific article; zbMATH DE number 1981252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mesures quasi-invariantes pour un feuilletage et limites de moyennes longitudinales. (Quasi-invariant measures for a foliation and limits of leafwise averages) |
scientific article; zbMATH DE number 1981252 |
Statements
Mesures quasi-invariantes pour un feuilletage et limites de moyennes longitudinales. (Quasi-invariant measures for a foliation and limits of leafwise averages) (English)
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15 September 2003
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A result of \textit{S. E. Goodman} and \textit{J. F. Plante} [J. Differ. Geom. 14, 401-407 (1979; Zbl 0475.57007)], who characterized limit points of averaging sequences as holonomy invariant transverse measures, is generalized. An analogous result for some leafwise averages, weighted with a cocycle, whose limit points are a product of a quasi-invariant transverse measure with respect to this cocycle with a leafwise measure is proved.
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foliation
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quasi-invariant measure
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holonomy
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limit points
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