Twists and Gromov hyperbolicity of riemann surfaces

Katsuhiko Matsuzaki, José M. Rodríguez

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    The main aim of this paper is to study whether the Gromov hyperbolicity is preserved under some transformations on Riemann surfaces (with their Poincaré metrics). We prove that quasiconformal maps between Riemann surfaces preserve hyperbolicity; however, we also show that arbitrary twists along simple closed geodesics do not preserve it, in general.

    Original languageEnglish
    Pages (from-to)29-44
    Number of pages16
    JournalActa Mathematica Sinica, English Series
    Volume27
    Issue number1
    DOIs
    Publication statusPublished - 2011

    Fingerprint

    Hyperbolicity
    Riemann Surface
    Twist
    Quasiconformal Maps
    Closed Geodesics
    Metric
    Arbitrary

    Keywords

    • Gromov hyperbolicity
    • Quasiconformal maps
    • Riemann surfaces

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics

    Cite this

    Twists and Gromov hyperbolicity of riemann surfaces. / Matsuzaki, Katsuhiko; Rodríguez, José M.

    In: Acta Mathematica Sinica, English Series, Vol. 27, No. 1, 2011, p. 29-44.

    Research output: Contribution to journalArticle

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