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Principal bundle structure on jet prolongations of frame bundles

In: Mathematica Slovaca, vol. 64, no. 5
J. Brajerčík - Milan Demko - Demeter Krupka
Detaily:
Rok, strany: 2014, 1277 - 1290
Kľúčové slová:
principal bundle, frame bundle, structure group, prolongation, associated bundle
O článku:
In this paper, we introduce the structure of a principal bundle on the $r$-jet prolongation $JrFX$ of the frame bundle $FX$ over a manifold $X$. Our construction reduces the well-known principal prolongation $Wr FX$ of $FX$ with structure group $Grn$. For a structure group of $Jr FX$ we find a suitable subgroup of $Grn$. We also discuss the structure of the associated bundles. We show that the associated action of the structure group of $Jr FX$ corresponds with the standard actions of differential groups on tensor spaces.
Ako citovať:
ISO 690:
Brajerčík, J., Demko, M., Krupka, D. 2014. Principal bundle structure on jet prolongations of frame bundles. In Mathematica Slovaca, vol. 64, no.5, pp. 1277-1290. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0275-x

APA:
Brajerčík, J., Demko, M., Krupka, D. (2014). Principal bundle structure on jet prolongations of frame bundles. Mathematica Slovaca, 64(5), 1277-1290. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0275-x
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