Expansive dynamics and hyperbolic geometry

DOI10.1007/BF01321305zbMath0826.53039MaRDI QIDQ4763951

Rafael Oswaldo Ruggiero

Publication date: 14 November 1995

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

fundamental groupexpansive geodesic flowhyperbolic geodesic spaceuniversal Riemannian covering

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (11)

Non-hyperbolic behavior of geodesic flows of rank 1 surfaces ⋮ Weak measure expansive flows ⋮ Spectral decomposition and \(\Omega\)-stability of flows with expanding measures ⋮ Asymptotic measure expansive flows ⋮ Expansive measures for flows ⋮ Non-hyperbolic surfaces having all ideal triangles with finite area ⋮ On Non-hyperbolic Quasi-convex Spaces ⋮ Gromov-hyperbolicity and transitivity of geodesic flows in \(n\)-dimensional Finsler manifolds ⋮ Geodesic Flows Modelled by Expansive Flows ⋮ Expansive flows on uniform spaces ⋮ On the stability conjecture for geodesic flows of manifolds without conjugate points

Cites Work

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• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• When is a geodesic flow of Anosov type, I
• Expansive geodesic flows in manifolds with no conjugate points
• GEODESIC FLOWS ON CLOSED RIEMANNIAN MANIFOLDS WITHOUT FOCAL POINTS
• Geodesic Flow in Certain Manifolds Without Conjugate Points

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