Geodesic
Prolongation of pairs of connections into connections on vertical bundles
Archivum mathematicum, Tome 41 (2005) no. 4, pp. 409-422 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 53C05, 58A20, 58A32
Keywords: connection; vertical bundle 
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Doupovec, Miroslav; Mikulski, Włodzimierz M. Prolongation of pairs of connections into connections on vertical bundles. Archivum mathematicum, Tome 41 (2005) no. 4, pp. 409-422. http://geodesic.mathdoc.fr/item/ARM_2005_41_4_a5/

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