Bounded geodesics of Riemann surfaces and hyperbolic manifolds

Fernández, J. L.; Melián, M. V.

doi:10.1090/S0002-9947-1995-1297524-7

Bounded geodesics of Riemann surfaces and hyperbolic manifolds
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by J. L. Fernández and M. V. Melián PDF

Trans. Amer. Math. Soc. 347 (1995), 3533-3549 Request permission

Abstract:

We study the set of bounded geodesics 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.

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