Transactions of the American Mathematical Society

Author(s): Richard Sharp
Journal: Trans. Amer. Math. Soc. 356 (2004), 4897-4908.
MSC (2000): Primary 37C27, 37C30, 37D20, 37D40, 53C22
Posted: January 16, 2004
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Abstract: In this paper, we study the distribution of closed geodesics on a compact negatively curved manifold. We concentrate on geodesics lying in a prescribed homology class and, under certain conditions, obtain a local limit theorem to describe the asymptotic behaviour of the associated counting function as the homology class varies.

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