Pseudo-anosov homeomorphisms with quadratic expansion

John M Franks; E. Rykken

Pseudo-anosov homeomorphisms with quadratic expansion

John M Franks^*, E. Rykken

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article

10 Scopus citations

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)
Pages (from-to)	2183-2192
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	127
Issue number	7
State	Published - Dec 1 1999

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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Franks, J. M., & Rykken, E. (1999). Pseudo-anosov homeomorphisms with quadratic expansion. Proceedings of the American Mathematical Society, 127(7), 2183-2192.

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