The geometry of measured geodesic laminations and measured train tracks

Howard Weiss

doi:10.1017/S0143385700005204

The geometry of measured geodesic laminations and measured train tracks

Howard Weiss

Biology

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Thurston and Kerckhoff have shown that the space of measured geodesic laminations on a hyperbolic Riemann surface serves as a non-linear model of the tangent space to Teichmüller space at the surface. In this paper we show that the natural map between these manifolds has stronger than Hölder continuous regularity.

Original language	English (US)
Pages (from-to)	587-604
Number of pages	18
Journal	Ergodic Theory and Dynamical Systems
Volume	9
Issue number	3
DOIs	https://doi.org/10.1017/S0143385700005204
State	Published - Sep 1989

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/S0143385700005204

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title = "The geometry of measured geodesic laminations and measured train tracks",

abstract = "Thurston and Kerckhoff have shown that the space of measured geodesic laminations on a hyperbolic Riemann surface serves as a non-linear model of the tangent space to Teichm{\"u}ller space at the surface. In this paper we show that the natural map between these manifolds has stronger than H{\"o}lder continuous regularity.",

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AB - Thurston and Kerckhoff have shown that the space of measured geodesic laminations on a hyperbolic Riemann surface serves as a non-linear model of the tangent space to Teichmüller space at the surface. In this paper we show that the natural map between these manifolds has stronger than Hölder continuous regularity.

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DO - 10.1017/S0143385700005204

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AN - SCOPUS:84974346376

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JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 3

ER -

The geometry of measured geodesic laminations and measured train tracks

Abstract

All Science Journal Classification (ASJC) codes

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