ON JET LIKE BUNDLES OF VECTOR BUNDLES

Authors

  • M. Doupovec Institute of Mathematics, Brno University of Technology, Technická 2, 61669 Brno, Czech Republic Author
  • J. Kurek Institute of Mathematics, Maria Curie Sklodowska University, pl. Marii Curie Sklodowskiej 1, Lublin, Poland Author
  • W. M. Mikulski Institute of Mathematics, Jagiellonian University, Lojasiewicza 6, Kraków, Poland Author

Keywords:

Bundle functor, gauge bundle functor, natural transformation, (gauge) natural operator, vector bundle,

Subjects:

58A05, 58A20, 58A32

Abstract

We describe completely the so called jet likefunctors 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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Published

2021-10-15

Issue

Vol. 73 No. 4 (2021): Vol. 73, Issue 4

Section

Articles

License

Copyright (c) 2021 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.