Federico Rodriguez Hertz

most citedGlobal rigidity of higher rank Anosov algebraic actions

48 citations · 57 across the 2 of their papers we have counts for

collaborators

2 papers

math.DS2013★ 48 cited

Global rigidity of higher rank Anosov algebraic actions

Federico Rodriguez Hertz, Zhiren Wang

We show that all $C^{\infty}$ Anosov $Z^{r}$ -actions on tori and nilmanifolds without rank-one factor actions are, up to $C^{\infty}$ conjugacy, actions by automorphisms.

math.DS2012★ 9 cited

Manifolds with higher homotopy which do not support Anosov diffeomorphisms

Andrey Gogolev, Federico Rodriguez Hertz

We show that various classes of closed manifolds with non-trivial higher homotopy groups do not support (transitive) Anosov diffeomorphisms. In particular we show that a finite pro…