Geodesics avoiding open subsets in surfaces of negative curvature

DOI10.1017/S0143385700000559zbMath1039.53039OpenAlexW2103769734MaRDI QIDQ4514489

Viktor Schroeder, Michel Walz, Sergei V. Buyalo

Publication date: 1 April 2001

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

Full work available at URL: https://doi.org/10.1017/s0143385700000559

zbMATH Keywords

ergodicitygeodesic flowLiouville measuregeodesicHadamard spacecompact surfacepinched negative curvature\(a\)-separated subset

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Global differential geometry (53Cxx)

Related Items (5)

A NOTE ON THE UNCLOUDING THE SKY OF NEGATIVELY CURVED MANIFOLDS ⋮ Geodesics avoiding subsets in Hadamard manifolds ⋮ Connecting geodesics and security of configurations in compact locally symmetric spaces ⋮ Prescribing the behaviour of geodesics in negative curvature ⋮ Non-dense orbits on homogeneous spaces and applications to geometry and number theory

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