On Non-hyperbolic Quasi-convex Spaces

DOI10.1090/S0002-9947-98-02075-3zbMath0896.53038OpenAlexW1577274139WikidataQ124981980 ScholiaQ124981980MaRDI QIDQ4382942

Rafael Oswaldo Ruggiero

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02075-3

zbMATH Keywords

conjugate pointsGromov-hyperbolic spacequasi-convex spacequasi-isometric immersion

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

Open problems and questions about geodesics

Cites Work

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• Manifolds of nonpositive curvature
• On the fundamental group of a visibility manifold
• The fundamental group of compact manifolds without conjugate points
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Visibility manifolds
• Existence of flat tori in analytic manifolds of nonpositive curvature
• GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS
• Expansive dynamics and hyperbolic geometry
• Geodesic Flow in Certain Manifolds Without Conjugate Points
• Perturbations of Discontinuous Solutions of Non-Linear Systems of Differential Equations
• Convergence groups are Fuchsian groups

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