Teichmuller Space is Not Gromov Hyperbolic

1994/07/01 by Howard Masur, Michael Wolf, Masur, Howard A. +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.dg-ga/9407001

openalex publication_date 1994/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Teichmuller Space of Riemann Surfaces of genus g>1, equipped with the Teichmuller metric, is not a Gromov Hyperbolic space.

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• Discrete-time gradient flows for unbounded convex functions on Gromov hyperbolic spaces

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