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

Abstract

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.

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