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Bounded geodesics in rank-1 locally symmetric spaces
Published online by Cambridge University Press: 14 October 2010
Abstract
Let M be a rank 1 locally symmetric space of finite Riemannian volume. It is proved that the set of unit vectors on a non-constant C1 curve in the unit tangent sphere at a point p ∈ M for which the corresponding geodesic is bounded (relatively compact) in M, is a set of Hausdorff dimension 1.
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