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Bounded geodesics of Riemann surfaces and hyperbolic manifolds

By J. L. Fernández and M. V. Melián


Abstract. We study the set of bounded geodesies of hyperbolic manifolds. For general Riemann surfaces and for hyperbolic manifolds with some finiteness assumption on their geometry we determine its Hausdorff dimension. Some applications to diophantine approximation are included

Year: 1995
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