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arxiv: math/0212189 · v1 · submitted 2002-12-13 · 🧮 math.GT · math.DS

On the density of geometrically finite Kleinian groups

classification 🧮 math.GT math.DS
keywords hyperboliccompleteconjecturedensityfinitegeometricallymanifoldalgebraic
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The density conjecture of Bers, Sullivan and Thurston predicts that each complete hyperbolic 3-manifold M with finitely generated fundamental group is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We prove that the conjecture obtains for each complete hyperbolic 3-manifold with no cusps and incompressible ends.

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