Regular projectively Anosov flows on three-dimensional manifolds
[Flots projectivement Anosov réguliers en dimension trois]
Asaoka, Masayuki
Annales de l'Institut Fourier, Tome 60 (2010), p. 1649-1684 / Harvested from Numdam
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Nous classifions complètement les flots projectivement Anosov réguliers en dimension trois. Plus précisément, nous prouvons qu’un tel flot est un flot d’Anosov ou se décompose en une union finie de T 2 ×I-modèles. Nous appliquons aussi notre méthode au problème de rigidité de certaines actions de groupes.

We give the complete classification of regular projectively Anosov flows on closed three-dimensional manifolds. More precisely, we show that such a flow must be either an Anosov flow or decomposed into a finite union of T 2 ×I-models. We also apply our method to rigidity problems of some group actions.

Publié le : 2010-01-01
DOI : https://doi.org/10.5802/aif.2569
Classification:  37D30,  57R30
Mots clés: flots projectivement Anosov, structures de bi-contact 
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     title = {Regular projectively Anosov flows on three-dimensional manifolds},
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Asaoka, Masayuki. Regular projectively Anosov flows on three-dimensional manifolds. Annales de l'Institut Fourier, Tome 60 (2010) pp. 1649-1684. doi : 10.5802/aif.2569. http://gdmltest.u-ga.fr/item/AIF_2010__60_5_1649_0/

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