We give a classification of $C^2$-regular projectively Anosov
flows on closed three dimensional manifolds. More precisely,
we show that if the manifold is connected then such a flow
must be either an Anosov flow or represented as a finite union
of $\mathbf{T}^2 \times I$-models.
@article{1116442505,
author = {Asaoka, Masayuki},
title = {A classification of three dimensional regular projectively Anosov flows},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {80},
number = {6},
year = {2004},
pages = { 194-197},
language = {en},
url = {http://dml.mathdoc.fr/item/1116442505}
}
Asaoka, Masayuki. A classification of three dimensional regular projectively Anosov flows. Proc. Japan Acad. Ser. A Math. Sci., Tome 80 (2004) no. 6, pp. 194-197. http://gdmltest.u-ga.fr/item/1116442505/