Natural operators lifting vector fields on manifolds to the bundles of covelocities

Mikulski, W. M.

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

Mean curvature functions for codimension-one foliations with all leaves compact

Paweł Grzegorz Walczak (1984)

Czechoslovak Mathematical Journal

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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 $n \geq 2$ all natural operators $T_{| ℳ f_{n}} ⇝ T^{*} (J^{r} T^{*})$ transforming vector fields from $n$ -manifolds $M$ into $1$ -forms on $J^{r} T^{*} M = {j_{x}^{r} (ω) ∣ ω \in Ω^{1} (M), x \in M}$ are classified. A similar problem with fibered manifolds instead of manifolds is discussed.

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

Mean curvature functions for codimension-one foliations with all leaves compact

Characteristic classes of subfoliations

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

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