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Twists and Gromov Hyperbolicity of Riemann Surfaces 被引量：1

Twists and Gromov Hyperbolicity of Riemann Surfaces
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摘要 The main aim of this paper is to study whether the Gromov hyperbolicity is preserved under some transformations on Riemann surfaces （with their Poincare 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. The main aim of this paper is to study whether the Gromov hyperbolicity is preserved under some transformations on Riemann surfaces （with their Poincare 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.
作者 Katsuhiko MATSUZAKI Jose M. RODRIGUEZ
机构地区 Department of Mathematics Departamento de Matemdticas
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第1期29-44,共16页 数学学报（英文版）
关键词 Quasiconformal maps Riemann surfaces Gromov hyperbolicity Quasiconformal maps, Riemann surfaces, Gromov hyperbolicity
分类号 O186.12 [理学—基础数学] TU323 [建筑科学—结构工程]
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Acta Mathematica Sinica,English Series
2011年 第1期

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