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Nonextendability of the Bers isomorphism

Author: Chaohui Zhang
Journal: Proc. Amer. Math. Soc. 123 (1995), 2451-2458
MSC: Primary 32G15; Secondary 30F60
MathSciNet review: 1249895
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Abstract: Let G be a torsion free finitely generated Fuchsian group of the first kind of type (p, n). The purpose of this paper is to show that the Bers isomorphism of the Bers fiber space $ F(G)$ onto the Bers embedding of $ T(\dot G)$ has no continuous extension to the boundary, provided that $ \dim T(G) \geq 1$, where Ġ is another torsion free finitely generated Fuchsian group of the first kind of type $ (p,n + 1)$.

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Article copyright: © Copyright 1995 American Mathematical Society