Factors of horocycle flows

DOI10.1017/S0143385700001723zbMath0536.58029WikidataQ126021035 ScholiaQ126021035MaRDI QIDQ3321148

Marina Ratner

Publication date: 1982

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

zbMATH Keywords

surfaceconjugacygeodesic flowLiouville measureconstant negative curvatureclassification of factorsfinite areameasure preserving flowequivalence classes of conjugacieshorocycle flow on the unit tangent bundle

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

• Horocycle flows are loosely Bernoulli
• The horocycle flow is mixing of all degrees
• Rigidity of horocycle flows
• Geodesic flows are Bernoullian
• On a Maximality Property of Discrete Subgroups with Fundamental Domain of Finite Measure