Regularity of limit sets of Anosov representations

Abstract

In this paper we establish necessary and sufficient conditions for the limit set of a projective Anosov representation to be a differentiable submanifold of projective space with Holder continuous derivatives. We also calculate the optimal value of the Holder constant in terms of the eigenvalue data of the Anosov representation.Comment: 58 pages, 1 figure, typos corrected in Version