This note is based on a theorem of Sacksteder which generalizes a classical result of Denjoy. Using this theorem and results on the existence of invariant measures, new results are obtained concerning minimal sets for groups of diffeomorphisms of the circle and for foliations of codimension one.
Ce travail est fondé sur un théorème de Sacksteder qui généralise un résultat classique de Denjoy. En utilisant ce théorème et quelques résultats sur l’existence d’une mesure invariante, on déduit des résultats relatifs aux ensembles minimaux pour les groupes de difféomorphismes du cercle et pour les feuilletages de codimension un.
@article{AIF_1975__25_1_237_0, author = {Plante, Joseph F.}, title = {Measure preserving pseudo-groups and a theorem of {Sacksteder}}, journal = {Annales de l'Institut Fourier}, pages = {237--249}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {25}, number = {1}, year = {1975}, doi = {10.5802/aif.550}, zbl = {0299.58007}, mrnumber = {51 #14100}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.550/} }
TY - JOUR AU - Plante, Joseph F. TI - Measure preserving pseudo-groups and a theorem of Sacksteder JO - Annales de l'Institut Fourier PY - 1975 SP - 237 EP - 249 VL - 25 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.550/ DO - 10.5802/aif.550 LA - en ID - AIF_1975__25_1_237_0 ER -
%0 Journal Article %A Plante, Joseph F. %T Measure preserving pseudo-groups and a theorem of Sacksteder %J Annales de l'Institut Fourier %D 1975 %P 237-249 %V 25 %N 1 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.550/ %R 10.5802/aif.550 %G en %F AIF_1975__25_1_237_0
Plante, Joseph F. Measure preserving pseudo-groups and a theorem of Sacksteder. Annales de l'Institut Fourier, Volume 25 (1975) no. 1, pp. 237-249. doi : 10.5802/aif.550. https://aif.centre-mersenne.org/articles/10.5802/aif.550/
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