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Regular projectively Anosov flows on three-dimensional manifolds

Masayuki Asaoka
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Abstract

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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Masayuki Asaoka. 2009-09-09. Regular projectively Anosov flows on three-dimensional manifolds. https://arxiv.org/abs/math/0504208

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