We show that if f : M → M is a pseudo-Anosov homeomorphism on an orientable surface with oriented unstable manifolds and a quadratic expanding factor, then there is a hyperbolic toral automorphism on T2 and a map h : M → T2 such that h is a semi-conjugacy and (M, h) is a branched covering space of T2. We also give another characterization of pseudo-Anosov homeomorphisms with quadratic expansion in terms of the kinds of Euclidean foliations they admit which are compatible with the affine structure associated to f.
|Original language||English (US)|
|Number of pages||10|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Dec 1 1999|
ASJC Scopus subject areas
- Applied Mathematics