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Variétés hyperboliques à géodésiques arbitrairement courtes. (Hyperbolic manifolds with arbitrarily small closed geodesics). (French) Zbl 0648.53027
The authors show that the interior of a compact manifold with boundary, if it admits a complete hyperbolic structure of infinite volume, also admits such a structure with arbitrarily small closed geodesics.
Reviewer: W.Ballmann

MSC:
53C20 Global Riemannian geometry, including pinching
53C22 Geodesics in global differential geometry
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