Connections on some functional bundles

Antonella Cabras; Ivan Kolář

Displaying similar documents to “Connections on some functional bundles”

On the second order absolute differentiation

Cabras, Antonella, Kolář, Ivan

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In this paper the authors compare two different approaches to the second order absolute differentiation of a fibered manifold (one of them was studied by the authors [Arch. Math., Brno 33, 23-35 (1997; Zbl 0910.53014)]. The main goal is the extension of one approach to connections on functional bundles of all smooth maps between the fibers of two fibered manifolds over the same base (we refer to the book “Natural Operations in Differential Geometry” [Springer, Berlin (1993; Zbl 0782.53013)]...

Jet involution and prolongations of connections

Marco Modugno (1989)

Časopis pro pěstování matematiky

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Connections on distributional bundles

Daniel Canarutto (2004)

Rendiconti del Seminario Matematico della Università di Padova

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Prolongation of pairs of connections into connections on vertical bundles

Miroslav Doupovec, Włodzimierz M. Mikulski (2005)

Archivum Mathematicum

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Let $F$ be a natural bundle. We introduce the geometrical construction transforming two general connections into a general connection on the $F$ -vertical bundle. Then we determine all natural operators of this type and we generalize the result by IK̇olář and the second author on the prolongation of connections to $F$ -vertical bundles. We also present some examples and applications.