Product preserving gauge bundle functors on all principal bundle homomorphisms

Włodzimierz M. Mikulski

Displaying similar documents to “Product preserving gauge bundle functors on all principal bundle homomorphisms”

Some further results on lifts of linear vector fields related to product preserving gauge bundle functors on vector bundles

A. Ntyam, G. F. Wankap Nono, Bitjong Ndombol (2016)

Archivum Mathematicum

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We present some lifts (associated to a product preserving gauge bundle functor on vector bundles) of sections of the dual bundle of a vector bundle, some derivations and linear connections on vector 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.

Natural differential operators between some natural bundles

Włodzimierz M. Mikulski (1993)

Mathematica Bohemica

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Let $F$ and $G$ be two natural bundles over $n$ -manifolds. We prove that if $F$ is of type (I) and $G$ is of type (II), then any natural differential operator of $F$ into $G$ is of order 0. We give examples of natural bundles of type (I) or of type (II). As an application of the main theorem we determine all natural differential operators between some natural bundles.

On the automorphisms of principal fibre bundles

Ivan Kolář (1980)

Commentationes Mathematicae Universitatis Carolinae

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Liftings of linear vector fields to product preserving gauge bundle functors on vector bundles.

Kureš, Miroslav, Mikulski, Włodzimierz M. (2003)

Lobachevskii Journal of Mathematics

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Connections on 1-jets principal fiber bundles

Efstathios Vassiliou (1976)

Rendiconti del Seminario Matematico della Università di Padova

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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.