Regular projectively Anosov flows on three-dimensional manifolds

Details Regular projectively Anosov flows on three-dimensional manifolds Regular projectively Anosov flows on three-dimensional manifolds

2005-04-11

arxiv.org/abs/math/0504208v4

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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