La décomposition dynamique et la différentiabilité des feuilletages des surfaces. (The dynamic decomposition and the differentiability of foliations of surfaces)

DOI10.5802/aif.1099zbMath0596.57019OpenAlexW2331929091MaRDI QIDQ1078855

Gilbert Levitt

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_3_85_0

zbMATH Keywords

differentiabilityrecurrencequasiminimal setssingular foliation on a compact surface

Mathematics Subject Classification ID

Related Items (12)

Smooth generalized interval exchange transformations with wandering intervals, from explicit derived from pseudo-Anosov maps ⋮ Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus 1 ⋮ Teichmüller dynamics, dilation tori and piecewise affine circle homeomorphisms ⋮ A priori bounds for GIETs, affine shadows and rigidity of foliations in genus two ⋮ Dynamics and ``arithmetics of higher genus surface flows ⋮ Dynamique générique des feuilletages transversalement affines des surfaces ⋮ Persistence of wandering intervals in self-similar affine interval exchange transformations ⋮ Lines of mean curvature on surfaces immersed in \(\mathbb{R}^3\) ⋮ Slow chaos in surface flows ⋮ Wandering intervals in affine extensions of self-similar interval exchange maps: the cubic Arnoux–Yoccoz map ⋮ Affine interval exchange transformations with flips and wandering intervals ⋮ The Poincaré-Bendixson theorem and arational foliations on the sphere

Cites Work

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• Quasiminimal invariants for foliations of orientable closed surfaces
• Foliations and laminations on hyperbolic surfaces
• Labyrinths in the disc and surfaces
• Differentiability and topology of labyrinths in the disc and annulus
• Feuilletages des surfaces
• Pantalons et feuilletages des surfaces
• Asymptotic cycles
• On the geometry and dynamics of diffeomorphisms of surfaces
• ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES
• A Generalization of a Poincare-Bendixson Theorem to Closed Two-Dimensional Manifolds

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