Counting horoballs and rational geodesics

Abstract

Let M be a geometrically finite pinched negatively curved Riemannian manifold with at least one cusp. We study the asymptotics of the number of geodesics in M starting from and returning to a given cusp, and of the number of horoballs at parabolic fixed points in the universal cover of M . In the appendix, due to K. Belabas, the case of SL(2,Z) and of… (More)

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