On the ergodicity of frame flows

DOI10.1007/BF01389897zbMath0445.58023OpenAlexW2069230305MaRDI QIDQ1145402

Michael Brin, Mikhael Gromov

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142741

zbMATH Keywords

ergodicityStiefel manifoldgeodesic flownegative sectional curvatureframe flowspace of orthonormal tangent k-frames

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Global Riemannian geometry, including pinching (53C20) 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)

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Cites Work

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• Classifying the isometric extensions of a Bernoulli shift
• Anosov flows with Gibbs measures are also Bernoullian
• The topology of group extensions of C systems
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Homotopy groups of symplectic groups
• The homotopy groups of Lie groups of low rank
• Compact Clifford-Klein forms of symmetric spaces
• PARTIALLY HYPERBOLIC DYNAMICAL SYSTEMS
• ON LIE GROUPS, TRANSITIVE ON COMPACT MANIFOLDS. III
• Groupes de Lie et Puissances Reduites de Steenrod

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