Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles.

Wlodzimierz M. Mikulski

Displaying similar documents to “Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles.”

The natural operators lifting $k$ -projectable vector fields to product-preserving bundle functors on $k$ -fibered manifolds.

Mikulski, Włodzimierz M., Tomáš, Jiři M. (2003)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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More morphisms between bundle gerbes.

Waldorf, Konrad (2007)

Theory and Applications of Categories [electronic only]

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On the functorial prolongations of principal bundles

Ivan Kolář, Antonella Cabras (2006)

Commentationes Mathematicae Universitatis Carolinae

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We describe the fundamental properties of the infinitesimal actions related with functorial prolongations of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept of weak principal bundle.

On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles

A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol (2014)

Archivum Mathematicum

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For a product preserving gauge bundle functor on vector bundles, we present some lifts of smooth functions that are constant or linear on fibers, and some lifts of projectable vector fields that are vector bundle morphisms.

On the geometry of vertical Weil bundles

Ivan Kolář (2014)

Archivum Mathematicum

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We describe some general geometric properties of the fiber product preserving bundle functors. Special attention is paid to the vertical Weil bundles. We discuss namely the flow natural maps and the functorial prolongation of connections.

Natural transformations between T²₁TM and TT²₁M

Miroslav Doupovec (1991)

Annales Polonici Mathematici

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We determine all natural transformations T²₁T*→ T*T²₁ where $T_{k}^{r} M = J_{0}^{r} (ℝ^{k}, M)$ . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.

Normalization of bundle holomorphic contractions and applications to dynamics

François Berteloot, Christophe Dupont, Laura Molino (2008)

Annales de l’institut Fourier

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We establish a Poincaré-Dulac theorem for sequences ${(G_{n})}_{n \in ℤ}$ of holomorphic contractions whose differentials $d_{0} G_{n}$ split regularly. The resonant relations determining the normal forms hold on the moduli of the exponential rates of contraction. Our results are actually stated in the framework of bundle maps. Such sequences of holomorphic contractions appear naturally as iterated inverse branches of endomorphisms of $ℂ ℙ^{k}$ . In this context, our normalization result allows to estimate precisely...

On 2-distributions in 8-dimensional vector bundles over 8-complexes

Martin Čadek, Jiří Vanžura (1996)

Colloquium Mathematicae

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It is shown that the $ℤ_{2}$ -index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.