Feuilletages des surfaces

DOI10.5802/aif.875zbMath0454.57015OpenAlexW2323534506MaRDI QIDQ1149675

Gilbert Levitt

Publication date: 1982

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_2_179_0

zbMATH Keywords

foliation cyclesfoliations defined by a vector field whose singularities are saddlesmeasured foliations on surfacessuspension of an interval exchange map on the circle

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Currents in global analysis (58A25)

Related Items

La décomposition dynamique et la différentiabilité des feuilletages des surfaces. (The dynamic decomposition and the differentiability of foliations of surfaces) ⋮ Structurally stable fields of line elements on surfaces ⋮ Feuilletages orientés de surfaces: le problème de la section globale. (Oriented foliations of surfaces: The problem of global section) ⋮ Singularity of the spectrum for smooth area-preserving flows in genus two and translation surfaces well approximated by cylinders ⋮ Teichmüller dynamics, dilation tori and piecewise affine circle homeomorphisms ⋮ Quantitative mixing for locally Hamiltonian flows with saddle loops on compact surfaces ⋮ Dependency of the positive and negative long-time behaviors of flows on surfaces ⋮ Chess billiards ⋮ A priori bounds for GIETs, affine shadows and rigidity of foliations in genus two ⋮ Mapping class group orbit closures for non-orientable surfaces ⋮ Absence of mixing in area-preserving flows on surfaces ⋮ Cascades in the dynamics of affine interval exchange transformations ⋮ Dilation surfaces and their Veech groups ⋮ Projective structures, grafting and measured laminations ⋮ Structure of a Morse form foliation on a closed surface in terms of genus ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Qualitative theory of foliations on closed surfaces ⋮ The Poincaré-Bendixson theorem and arational foliations on the sphere

Cites Work

• Quasiminimal invariants for foliations of orientable closed surfaces
• Pantalons et feuilletages des surfaces
• Foliations with measure preserving holonomy
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Common singularities of commuting vector fields on 2-manifolds
• Asymptotic cycles
• ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES
• Shorter Notes: Representing Homology Classes of Closed Orientable Surfaces
• Interval exchange transformations
• Interval exchange transformations
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