most citedNonvanishing of algebraic entropy for geometrically finite groups of isometries of Hadamard manifolds

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math.GR2004★ 3 cited

Nonvanishing of algebraic entropy for geometrically finite groups of isometries of Hadamard manifolds

Roger C. Alperin, Guennady A. Noskov

We prove that any geometrically finite (nonelementary) group of isometries of a pinched Hadamard manifold has uniform exponential growth.