Affine Anosov Maps on ${\mathbb{R}}^n$: Classification, Index Spectrum, and Stability at Infinity

Z. Li, A. Rojas, S. Romaña

For $n\ge 2$, we classify the affine diffeomorphisms $f_{A,v}(x)=Ax+v$ on ${\mathbb{R}}^n$ that admit a complete Riemannian metric with respect to which they are Anosov. Such a metric…