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Displaying similar documents to “Natural operators lifting vector fields on manifolds to the bundles of covelocities”

Characteristic classes of subfoliations

Luis A. Cordero, X. Masa (1981)

Annales de l'institut Fourier

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This paper is devoted to define a characteristic homomorphism for a subfoliation ( F 1 , F 2 ) and to study its relation with the usual characteristic homomorphism for each foliation (as defined by Bott). Moreover, two applications are given: 1) the Yamato’s 2-codimensional foliation is shown to be no homotopic to F 2 in a (1,2)-codimensional subfoliation; 2) an obstruction to the existence of d everywhere independent and transverse infinitesimal transformations of a foliation F 2 is obtained, when...

Liftings of vector fields to 1 -forms on the r -jet prolongation of the cotangent bundle

Włodzimierz M. Mikulski (2002)

Commentationes Mathematicae Universitatis Carolinae

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For natural numbers r and n ≥ 2 all natural operators T | ℳ f n ⇝ T * ( J r T * ) transforming vector fields from n -manifolds M into 1 -forms on J r T * M = { j x r ( ω ) ∣ ω ∈ Ω 1 ( M ) , x ∈ M } are classified. A similar problem with fibered manifolds instead of manifolds is discussed.