Obstructions to fibrewise Anosov flows over 3-dimensional Anosov flows

In this talk, I will recall the classification of algebraic Anosov flows by Tomter and the ``example of the mixed-type’’ which inspired us to look at torus bundles. Then I will introduce the project of construction of non-algebraic Anosov flows that fibre over 3-dimensional non-algebraic Anosov flows. We give some obstructions. This is a joint work with Neige Paulet.