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Exemples de feuilletages de Lie

Hamidou Dathe, Jean-François Quint (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

Nous donnons des exemples de feuilletages de Lie sur une variété compacte qui ne se déforment pas en des feuilletages de Lie à holonomie discrète.

Exotic characteristic classes and subfoliations

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

Annales de l'institut Fourier

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).

Extensions through codimension one to sense preserving mappings

Charles J. Titus (1973)

Annales de l'institut Fourier

The archetype for the questions considered is: “Which plane oriented curves in the plane are representable as the images of the boundary of a disk under holomorphic function?” This question is equivalent to: “Which immersion of the circle in the plane are extendable to smooth sense preserving (= non-negative jacobian) mappings of the closed disk with the jacobian positive on the boundary?”The second question is generalized in terms of the genus and dimension of the source and target. An exposition...

Families of functions dominated by distributions of C -classes of mappings

Goo Ishikawa (1983)

Annales de l'institut Fourier

A subsheaf of the sheaf Ω of germs C functions over an open subset Ω of R n is called a sheaf of sub C function. Comparing with the investigations of sheaves of ideals of Ω , we study the finite presentability of certain sheaves of sub C -rings. Especially we treat the sheaf defined by the distribution of Mather’s 𝒞 -classes of a C mapping.

Families of jacobian manifolds and characteristic classes of surface bundles. I

Shigeyuki Morita (1989)

Annales de l'institut Fourier

In our previous work we have defined the notion of characteristic classes of surface bundles, which are differentiable fibre bundles whose fibres are closed oriented surfaces. In this paper we derive new relations between these characteristic classes by considering a canonical embedding of a given surface bundle with cross section to its associated family of Jacobian manifolds. As a key technical step we determine the first cohomology group of the mapping class group of oriented surfaces with coefficients...

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