Geodesic
Regular projectively Anosov flows on three-dimensional manifolds
[Flots projectivement Anosov réguliers en dimension trois]
Asaoka, Masayuki1
1Kyoto University Department of Mathematics Kitashirakawa Oiwakecho, Sakyo-ku 606-8502 Kyoto (Japan)
Annales de l'Institut Fourier, Tome 60 (2010) no. 5, pp. 1649-1684
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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.

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.

DOI : 10.5802/aif.2569
Classification : 37D30, 57R30
Keywords: Projectively Anosov flows, bi-contact structures
Mots-clés : flots projectivement Anosov, structures de bi-contact

Asaoka, Masayuki  1

1 Kyoto University Department of Mathematics Kitashirakawa Oiwakecho, Sakyo-ku 606-8502 Kyoto (Japan) 
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     title = {Regular projectively {Anosov} flows on three-dimensional manifolds},
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     pages = {1649--1684},
     year = {2010},
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Asaoka, Masayuki. Regular projectively Anosov flows on three-dimensional manifolds. Annales de l'Institut Fourier, Tome 60 (2010) no. 5, pp. 1649-1684. doi: 10.5802/aif.2569

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