Flows on closed surfaces and behavior of trajectories lifted to the universal covering plane

DOI10.1007/BF02254658zbMath0995.37014MaRDI QIDQ1972683

D. V. Anosov

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

Euler characteristic\(\omega\)-limit settopological flowclosed surface

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

Related Items (13)

\(\omega\)-limit sets from nonrecurrent points of flows on manifolds ⋮ Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ Positive quadratic differential forms: Topological equivalence through Newton polyhedra ⋮ Accumulation points of nonrecurrent orbits of surface flows. ⋮ Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane ⋮ Maier's theorems and geodesic laminations of surface flows ⋮ Structural stability and asymptotic behavior of invariant manifolds of \(A\)-diffeomorphisms of surfaces ⋮ A topological characterization of the \(\omega \)-limit sets for analytic flows on the plane, the sphere and the projective plane ⋮ On a problem of A. Weil ⋮ A Characterization of ω-Limit Sets of Nonrecurrent Orbits in $\mathbb S^n$ ⋮ EMPTY INTERIOR RECURRENCE FOR CONTINUOUS FLOWS ON SURFACES ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Remote limit points on surfaces

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• ON THE BEHAVIOR IN THE EUCLIDEAN OR LOBACHEVSKY PLANE OF TRAJECTORIES THAT COVER TRAJECTORIES OF FLOWS ON CLOSED SURFACES. II
• On the geometry and topology of flows and foliations on surfaces and the Anosov problem
• On the behaviour in the Euclidean or Lobachevsky plane of trajectories that cover trajectories of flows on closed surfaces. III
• An Index of Fixed Point Type for Periodic Orbits
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