Geodesic flows with hyperbolic behaviour of the trajectories and objects connected with them

DOI10.1070/RM1981v036n04ABEH002636zbMath0493.58001OpenAlexW1997641629MaRDI QIDQ3956113

Ya. B. Pesin

Publication date: 1981

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1981v036n04abeh002636

zbMATH Keywords

non-positive curvaturehyperbolic structureshorocycle flowsframe flowsgeodesic flows on smooth compact Riemannian manifolds with Riemannian metric without conjugate pointstopological and ergodic properties of geodesic flows

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Geodesics in global differential geometry (53C22) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Geodesic flows in symplectic geometry and contact geometry (53D25) Ergodic theory (37A99) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

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