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math.DG1999
Counting horoballs and rational geodesics
Sa'ar Hersonsky, Frederic Paulin
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 ret…
math.DG1999
Diophantine approximation for negatively curved manifold, I
Sa'ar Hersonsky, Frederic Paulin
Let M be a geometrically finite pinched negatively curved Riemannian manifold with at least one cusp. Inspired by the theory of diophantine approximation of a real (or complex) num…