Bounded geodesics in rank-1 locally symmetric spaces

DOI10.1017/S0143385700009640zbMath0835.58026MaRDI QIDQ4854156

Enrico Leuzinger, C. S. Aravinda

Publication date: 21 April 1996

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimension onebounded geodesicsrank-1 locally symmetric spaces

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (9)

Bounded orbits of Anosov flows ⋮ On non-dense orbits of certain non-algebraic dynamical systems ⋮ Hausdorff dimension and Kleinian groups ⋮ Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces ⋮ The topological entropy of non-dense orbits and generalized Schmidt games ⋮ Schmidt games and non-dense forward orbits of certain partially hyperbolic systems ⋮ Prescribing the behaviour of geodesics in negative curvature ⋮ Badly approximable numbers and vectors in Cantor-like sets ⋮ Modified Schmidt games and non-dense forward orbits of partially hyperbolic systems

Cites Work

• Bounded orbits of flows on homogeneous spaces
• Geodesic flows on symmetric Riemann spaces
• The shape invariant of triangles and trigonometry in two-point homogeneous spaces
• Lattices in spaces of nonpositive curvature
• Ergodicity of Flows on Homogeneous Spaces

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