Geodesic
Natural transformations of connections on the first principal prolongation
Archivum mathematicum, Tome 50 (2014) no. 1, pp. 21-25

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We consider a vector bundle $E\rightarrow M$ and the principal bundle $PE$ of frames of $E$. We determine all natural transformations of the connection bundle of the first order principal prolongation of principal bundle $PE$ into itself.
DOI : 10.5817/AM2014-1-21
Classification : 53C05, 58A32
Keywords: natural bundle; gauge-natural bundle; natural operator; principal bundle; principal connection 
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Vondra, Jan. Natural transformations of connections on the first principal prolongation. Archivum mathematicum, Tome 50 (2014) no. 1, pp. 21-25. doi: 10.5817/AM2014-1-21

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