Displaying similar documents to “Characteristic classes of subfoliations”

Exotic characteristic classes and subfoliations

Luis A. Cordero, P. M. Gadea (1976)

Annales de l'institut Fourier

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A topological obstruction for a foliation F 1 be a sub-foliation of another F 2 is given by comparing the images of the associated characteristic homomorphisms (in the sense of Lehmann).

Characteristic homomorphism for ( F 1 , F 2 ) -foliated bundles over subfoliated manifolds

José Manuel Carballés (1984)

Annales de l'institut Fourier

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In this paper a construction of characteristic classes for a subfoliation ( F 1 , F 2 ) is given by using Kamber-Tondeur’s techniques. For this purpose, the notion of ( F 1 , F 2 ) -foliated principal bundle, and the definition of its associated characteristic homomorphism, are introduced. The relation with the characteristic homomorphism of F i -foliated bundles, i = 1 , 2 , the results of Kamber-Tondeur on the cohomology of g - D G -algebras. Finally, Goldman’s results on the restriction of foliated bundles to the leaves of...

On the Cech bicomplex associated with foliated structures

Haruo Kitahara, Shinsuke Yorozu (1978)

Annales de l'institut Fourier

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For a codimension q foliation on a manifold, η × ( d η ) q defines the Godbillon-Vey class. We show that η itself defines a certain cohomology class, via the Cech bicomplex.