On the theorem of Denjoy-Sacksteder for codimension one foliations without holonomy

DOI10.1215/kjm/1250523177zbMath0296.57006OpenAlexW1528267693MaRDI QIDQ1213682

Hideki Imanishi

Publication date: 1974

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250523177

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30)

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Commutator subgroups and foliations without holonomy ⋮ Homeomorphisms of locally finite graphs ⋮ Resilient leaves in transversely affine foliations ⋮ \(C^0\) approximations of foliations ⋮ Foliated cobordisms of suspended foliations ⋮ On codimension one partially hyperbolic diffeomorphisms ⋮ Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center ⋮ Collapsed Anosov flows and self orbit equivalences ⋮ Holonomie et cycle evanouissant ⋮ Laminar branched surfaces in 3--manifolds ⋮ On elementary transversely affine foliations. II ⋮ Versions of the closing lemma for certain dynamical systems on tori ⋮ Flows of locally finite graphs ⋮ Foliated eight-manifolds for M-theory compactification ⋮ The Lie affine foliations on 4-manifolds ⋮ On the first homology of automorphism groups of manifolds with geometric structures ⋮ Approximating \(C^{0}\)-foliations by contact structures ⋮ Boundary curves of surfaces with the 4--plane property ⋮ Strengthening the \(C^r\)-closing lemma for dynamical systems and foliations on the torus ⋮ The Nishimori decompositions of codimension-one foliations and the Godbillon-Vey classes ⋮ Projectively Anosov flows with differentiable (un)stable foliations ⋮ Totally geodesic foliations and Killing fields ⋮ Flats in 3-manifolds

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