Abstract
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) |
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Pages (from-to) | 2183-2192 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 127 |
Issue number | 7 |
DOIs | |
State | Published - 1999 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics