A comparison theorem on simply connected complete Riemannian manifolds
Granados, Ana
Illinois J. Math., Tome 47 (2003) no. 4, p. 1167-1176 / Harvested from Project Euclid
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.
Publié le : 2003-10-15
Classification:  53C21,  30F45
@article{1258138097,
     author = {Granados, Ana},
     title = {A comparison theorem on simply connected complete Riemannian manifolds},
     journal = {Illinois J. Math.},
     volume = {47},
     number = {4},
     year = {2003},
     pages = { 1167-1176},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138097}
}
Granados, Ana. A comparison theorem on simply connected complete Riemannian manifolds. Illinois J. Math., Tome 47 (2003) no. 4, pp.  1167-1176. http://gdmltest.u-ga.fr/item/1258138097/