3 papers
math.DG2004
Unclouding the sky of negatively curved manifolds
Jouni Parkkonen, Frederic Paulin
Let M be a complete simply connected Riemannian manifold, with sectional curvature K bounded above by -1. Under some assumptions on the geometry of the boundary of M, which are sat…
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…