Any covering Y --> X of a hyperbolic Riemann surface X determines an inclusion of Teichmuller spaces T(X) --> T(Y). This map is shown to be an isometry for the Teichmuller metric iff the covering is amenable, and contracting iff \\Theta([mu])\\<1 for any [mu]epsilon T(X), where Theta([mu]) is the Poincare series operator. Furthermore the inclusion is not a uniform contraction on T(X).Mathematics, AppliedMathematicsSCI(E)1ARTICLE101202-12103
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Abstract. We extend a theorem of Masur and Wolf which says that given a hyperbolic surface S, every ...
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Any covering Y→X of a hyperbolic Riemann surface X determines an inclusion of Teichmuller spaces T(X...
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For two measured laminations $\nu^+$ and $\nu^-$ that fill up a hyperbolizable surface $S$ ...
Abstract. We define and study metrics and weak metrics on the Teichmüller space of a surface of top...
For two measured laminations $\nu^+$ and $\nu^-$ that fill up a hyperbolizable surface $S$ ...
Let S be a surface with genus g and n boundary components, and let d(S) = 3g − 3 + n denote the num...
We study geometric parametÅzations of the Teichmäller space of an orientable or non-orientable C--su...
Abstract. We extend a theorem of Masur and Wolf which says that given a hyperbolic surface S, every ...
We define and study natural metrics and weak metrics on the Teichmüller space of a surface of topolo...
Any covering Y→X of a hyperbolic Riemann surface X determines an inclusion of Teichmuller spaces T(X...
The Teichmüller space of a surface with boundary is the space of all isotopy classes of hyperbolic m...
We prove, for any n, that there is a closed connected orientable surface S so that the hyperbolic sp...
Abstract. We give sufficient conditions for the existence of equivariant harmonic maps from the univ...
We shall construct Teichmüller spaces alternatively by using quasiconformal mappings, we investigate...
We consider a distance dL on the Teichmü ller space T (S0) of a hyperbolic Riemann surface S0. The d...
We compare some natural triangulations of the Teichmuller space of hyperbolic surfaces with geodesic...
Abstract. We show that there exists a universal constant Kc so that every K-strongly quasiconformall...
For two measured laminations $\nu^+$ and $\nu^-$ that fill up a hyperbolizable surface $S$ ...
Abstract. We define and study metrics and weak metrics on the Teichmüller space of a surface of top...
For two measured laminations $\nu^+$ and $\nu^-$ that fill up a hyperbolizable surface $S$ ...
Let S be a surface with genus g and n boundary components, and let d(S) = 3g − 3 + n denote the num...
We study geometric parametÅzations of the Teichmäller space of an orientable or non-orientable C--su...
Abstract. We extend a theorem of Masur and Wolf which says that given a hyperbolic surface S, every ...
We define and study natural metrics and weak metrics on the Teichmüller space of a surface of topolo...