This is a continuation from last week.

In this talk I will describe the stable and unstable leaves for the geodesic flow on the space of non-wandering spacelike geodesics of a Margulis Space Time and prove contraction properties of the leaves under the flow. Using this I will also define the notion of an Anosov representation in the context of representations of the free group into the non-semisimple Lie group $\mathsf{SO}^0(2,1)\ltimes\mathbb{R}^3$.