ar X iv : m at h / 02 10 43 7 v 3 [ m at h . G T ] 2 7 D ec 2 00 3 A theorem on discrete , torsion free subgroups of Isom
نویسندگان
چکیده
Let Hn be the hyperbolic n-space with n ≥ 2. Suppose that Γ < Isom Hn is a discrete, torsion free subgroup and a is a point in the domain of discontinuity Ω(Γ). Let p be the projection map from Hn to the quotient manifold M = Hn/Γ. In this paper we prove that there exists an open neighborhood U of a in Hn ∪Ω(Γ) such that p is an isometry on U ∩ Hn.
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