Horocycle flow on a surface of negative curvature is separating

DOI10.1007/BF01137415zbMath0563.58024WikidataQ125585015 ScholiaQ125585015MaRDI QIDQ1057558

A. A. Gura

Publication date: 1984

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

geodesic flowhorocycle flowseparating flow

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) 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)

Related Items (7)

Centralizers of hyperbolic and kinematic-expansive flows ⋮ Rescaled expansivity and separating flows ⋮ Katok-Hasselblatt-kinematic expansive flows ⋮ A solution to Flinn’s conjecture on weakly expansive flows ⋮ Minimal expansive systems and spiral points ⋮ Expansive flows on uniform spaces ⋮ Expansiveness for the geodesic and horocycle flows on compact Riemann surfaces of constant negative curvature

Cites Work

• Geometry of horospheres
• Unique ergodicity of the horocycle flow: variable negative curvature case
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