Classification of regular and non-degenerate projectively Anosov flows on three dimensional manifolds

Details Classification of regular and non-degenerate projectively Anosov flows on three dimensional manifolds Classification of regular and non-degenerate projectively Anosov flows on three dimensional manifolds

2003-05-27

arxiv.org/abs/math/0305372v2

J. Math. Kyoto Univ. 46 (2006), no.2, 349-356

Mathematics

Dynamical Systems

8 pages, 2 figures. To appear in J. Math. Kyoto. Univ

Scientific paper

We give complete classification of C^2-regular and non-degenerate
projectively Anosov flows on three dimensional manifolds. More precisely, we
prove that such a flow on a connected manifold must be either an Anosov flow or
represented as a finite union of $T^2 \times [0,1]$-models.

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