Abstract
We consider simply connected complete Riemannian manifolds with sectional curvature bounded above by $-C^2 < 0$, and curves on such manifolds with geodesic curvature at most $C>0$ in absolute value. We give an estimate for the rate at which such curves approach the boundary of the manifold.
Citation
Ana Granados. "A comparison theorem on simply connected complete Riemannian manifolds." Illinois J. Math. 47 (4) 1167 - 1176, Winter 2003. https://doi.org/10.1215/ijm/1258138097
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