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Automorphisms of the deformation space of a Kleinian group


Author: James A. Gentilesco
Journal: Trans. Amer. Math. Soc. 248 (1979), 207-220
MSC: Primary 32G15; Secondary 30F40
DOI: https://doi.org/10.1090/S0002-9947-1979-0521701-4
MathSciNet review: 521701
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Abstract | References | Similar Articles | Additional Information

Abstract: In the following paper, we determine the biholomorphic automorphisms of a cross-product of Teichmüller spaces. This in turn helps us to determine the biholomorphic automorphisms of the deformation space of a Kleinian group using the fact that its holomorphic universal covering space is a cross-product of Teichmüller spaces. Among other interesting results, we show that in general the deformation space is not a homogeneous space.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1979-0521701-4
Keywords: Fuchsian group, Kleinian group, Riemann surface, Teichmüller space, deformation space, modular group, Kobayashi metric, Finsler structure
Article copyright: © Copyright 1979 American Mathematical Society

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