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Regular projectively Anosov flows on three-dimensional manifolds

Masayuki Asaoka — 2010

Annales de l’institut Fourier

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 $T^{2} \times I$ -models. We also apply our method to rigidity problems of some group actions.

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