On Non-hyperbolic Quasi-convex Spaces

Ruggiero, Rafael

doi:10.1090/S0002-9947-98-02075-3

On Non-hyperbolic Quasi-convex Spaces
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by Rafael Oswaldo Ruggiero PDF

Trans. Amer. Math. Soc. 350 (1998), 665-687 Request permission

Abstract:

We show that if the universal covering of a compact Riemannian manifold with no conjugate points is a quasi-convex metric space then the following assertion holds: Either the universal covering of the manifold is a hyperbolic geodesic space or it contains a quasi-isometric immersion of $Z\times Z$.

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