Displaying similar documents to “Connections on infinite dimensional manifolds with corners”

Double vector bundles and duality

Katarzyna Konieczna, Pawel Urbański (1999)

Archivum Mathematicum

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The notions of the dual double vector bundle and the dual double vector bundle morphism are defined. Theorems on canonical isomorphisms are formulated and proved. Several examples are given.

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 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.