Mathematics – Dynamical Systems
Scientific paper
2005-04-11
Ann. Inst. Fourier, 60 (2010) no. 5, p. 1649-1684
Mathematics
Dynamical Systems
28 pages, no figures
Scientific paper
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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