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 $Z\times Z$.References
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Additional Information
- Rafael Oswaldo Ruggiero
- Affiliation: Pontificia Universidade Católica do Rio de Janeiro, PUC-Rio, Dep. de Matemática, Rua Marqués de São Vicente 225, Gávea, Rio de Janeiro, Brasil
- MR Author ID: 313673
- Received by editor(s): April 25, 1994
- Received by editor(s) in revised form: April 12, 1996
- Additional Notes: Partially supported by CNPq of Brazilian Government
The present paper was developed while the author was visiting at the École Normale Supérieure in Lyon from 09/93 to 08/94 - © Copyright 1998 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 350 (1998), 665-687
- MSC (1991): Primary 53C23; Secondary 53C20, 53C22, 53C40
- DOI: https://doi.org/10.1090/S0002-9947-98-02075-3
- MathSciNet review: 1451615