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

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Displaying similar documents to “On lifts of some projectable vector fields associated to a product preserving gauge bundle functor on vector bundles”

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.

On the natural transformations of Weil bundles

Ivan Kolář (2013)

Archivum Mathematicum

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First we deduce some general results on the covariant form of the natural transformations of Weil functors. Then we discuss several geometric properties of these transformations, special attention being paid to vector bundles and principal bundles.

On the Weilian prolongations of natural bundles

Ivan Kolář (2012)

Czechoslovak Mathematical Journal

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We characterize Weilian prolongations of natural bundles from the viewpoint of certain recent general results. First we describe the iteration $F (E M)$ of two natural bundles $E$ and $F$ . Then we discuss the Weilian prolongation of an arbitrary associated bundle. These two auxiliary results enables us to solve our original problem.