The dynamics of open, foliated manifolds and a vanishing theorem for the Godbillon-Vey class

DOI10.1016/0001-8708(84)90015-XzbMath0552.57009OpenAlexW2088067334MaRDI QIDQ801565

John Cantwell, Lawrence Conlon

Publication date: 1984

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(84)90015-x

zbMATH Keywords

resiliencyGodbillon-Vey invariantcodimension-one foliationsgeometric significancegrowth properties of leaves

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32)

Related Items (7)

Differentiability of conjugacies between dynamical systems of dimension 1 ⋮ Dynamics and the Godbillon-Vey class of \(C^1\) foliations ⋮ LOSIK CLASSES FOR CODIMENSION-ONE FOLIATIONS ⋮ Localization of Chern-Simons type invariants of Riemannian foliations ⋮ On the topology of closed manifolds with quasi-constant sectional curvature ⋮ The Godbillon-Vey invariant and equivariant \(KK\)-theory ⋮ Exotic classes for measured foliations

Cites Work

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• The Godbillon-Vey classes of codimension one foliations which are almost without holonomy
• Measure preserving pseudogroups and a theorem of Sacksteder
• Feuilletage et difféomorphismes infiniment tangents à l'identité
• Classifying spaces and spectral sequences
• Sur quelques phénomènes de captage
• Poincare-Bendixson Theory for Leaves of Codimension One
• Foliations and Pseudogroups
• A Metric Formula for the Godbillon-Vey Invariant for Foliations
• Noncobordant foliations of 𝑆³
• Analytic Quasi-Periodic Curves of Discontinuous Type on a Torus

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