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Complex Variables, Theory and Application: An International Journal Volume 25, 1994 - Issue 4
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Original Articles

Invariant metrics in infinite-dimensional teichmüller space

Li-Xing Liu Institute of Mathematics, Fudan University, Shanghai, P.R., 200433, China
Pages 337-349 | Received 28 Jun 1993, Published online: 29 May 2007
 
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Abstract

Let Γ be a torsion free Fuchsian group with parabolic elements and TΓ be of infinite dimension. We prove that the Carath´odory metric and the Teichmüller metric on TΓ do not coincide. This answers partially a problem posed by Abikoff in 1974.

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