Bounded geodesics of Riemann surfaces and hyperbolic manifolds
Authors:
- J. L. FernándezJFJ. L. Fernández
- M. V. MeliánMMM. V. Melián
- 1 September 1995
- journal article
- Published by American Mathematical Society (AMS) in Transactions of the American Mathematical Society
- Vol. 347 (9) , 3533-3549
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.Keywords
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