Sur le théorème de Poincaré-Bendixson

DOI10.5802/aif.495zbMath0273.57008OpenAlexW2313053902MaRDI QIDQ2264494

Robert Moussu, Fernand Pelletier

Publication date: 1974

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1974__24_1_131_0

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Fiber bundles in algebraic topology (55R10)

Related Items (11)

Sur l'invariance topologique de la classe de Godbillon-Vey. (On the topological invariance of the Godbillon-Vey class.) ⋮ Dynamics and the Godbillon-Vey class of \(C^1\) foliations ⋮ Surface foliations, vanishing cycles and Poisson manifolds ⋮ Foliations of 3-manifolds with solvable fundamental group ⋮ On the structure of foliated 3-manifolds separated by a compact leaf ⋮ Foliations ⋮ Riemann surface laminations with singularities ⋮ Measure preserving pseudogroups and a theorem of Sacksteder ⋮ Sur les feuilletages induits par l'action de groupes de Lie nilpotents ⋮ Minimal sets of foliations on complex projective spaces ⋮ Uniform and Lipschitz homotopy classes of maps

Cites Work

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• On the existence of exceptional minimal sets in foliations of codimension one
• Plongements dans les variétés feuilletees et classification de feuilletages sans holonomie
• Rélations de conjugaison et de cobordisme entre certains feuilletages
• A note on curvature and fundamental group
• On fibering certain foliated manifolds over \(S^1\)
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• Topological equivalence of Reeb foliations
• A generalization of the Poincaré-Bendixson theorem for foliations of codimension one
• Asymptotic properties of foliations
• Foliations and Pseudogroups

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