Journal ArticleDOI
On Boundaries of Teichmuller Spaces and on Kleinian Groups: I
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This article is published in Annals of Mathematics.The article was published on 1970-05-01. It has received 318 citations till now. The article focuses on the topics: Kleinian group.read more
Citations
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On the geometry and dynamics of diffeomorphisms of surfaces
TL;DR: In this paper, the authors presented a proof of the classification of surface automorphisms from the point of view of Teichmüller theory, generalizing Teichmiiller's theorem by allowing the Riemann surface to vary as well as the map.
Journal ArticleDOI
Moduli spaces of local systems and higher Teichmüller theory
V. V. Fock,Alexander Goncharov +1 more
TL;DR: The moduli space of positive representations is a topologically trivial open domain in the space of all representations as discussed by the authors, and all positive representations of the fundamental group of S to G(R) are faithful, discrete and positive hyperbolic.
Journal ArticleDOI
Quasiconformal homeomorphisms and dynamics I. Solution of the Fatou-Julia problem on wandering domains
TL;DR: Disclosed is an apparatus for machining the bolster bowl surface, the bolster pocket surfaces, the fulcrum pin hole surface and the bolster gib surfaces of railroad truck bolsters and a locating template is utilized to properly position the bolster on the fixture.
Book
Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142
TL;DR: In this paper, a unified treatment of the construction of fixed points for renormalization and 3-dimensional hyperbolic 3-folds fibering over the circle is given.
References
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Riemann's mapping theorem for variable metrics*
Lars V. Ahlfors,Lipman Bers +1 more
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A uniqueness theorem for Beltrami equations
L. Ahlfors,G. Weill +1 more
TL;DR: In this article, it is shown that f is univalent in I z I < t, from which it follows that all solutions of (1.4) can be expressed as analytic functions of f.
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On Klein’s combination theorem. IV
TL;DR: In this article, an expansion of the combination theorems to cover the following problems is presented: a proof is given that the combined group is analytically finite if and only if the original groups are, and a formula for the hyperbolic area of the combined groups is given.