MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
ON JET LIKE BUNDLES OF VECTOR BUNDLES
M. Doupovec, J. Kurek, W. M. Mikulski

Abstract

We describe completely the so called jet like functors of a vector bundle $E$ over an $m$-dimensional manifold $M$, i.e.\ bundles $FE$ over $M$ canonically depending on $E$ such that $F(E_1\times_M E_2)=FE_1\times_MFE_2$ for any vector bundles $E_1$ and $E_2$ over $M$. Then we study how a linear vector field on $E$ can induce canonically a vector field on $FE$.

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Keywords: Bundle functor; gauge bundle functor; natural transformation; (gauge) natural operator; vector bundle; module bundle; jet.

MSC: 58A05, 58A20, 58A32

Pages:  243--255     

Volume  73 ,  Issue  4 ,  2021