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ISOMETRIES AND DISCRETE ISOMETRY SUBGROUPS OF HYPERBOLIC SPACES
Glasgow Mathematical Journal
Let ވ n be the n-dimensional hyperbolic space with n ≥ 2. Suppose that G is a discrete, sense-preserving subgroup of Isomވ n , the isometry group of ވ n . Let p be the projection map from ވ n to the quotient space M = ވ n /G. The first goal of this paper is to prove that for any a ∈ ވ∂ n (the sphere at infinity of ވ n ), there exists an open neighbourhood U of a in ވ ndoi:10.1017/s0017089508004503 fatcat:rsvweqx4lzfrzdfvjcuzvqnl6u