Publication detail

On jet like bundles of vector bundles

DOUPOVEC, M. KUREK, J. MIKULSKI, W.

English title

On jet like bundles of vector bundles

Type

journal article in Web of Science

Language

en

Original 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 x(M) E-2) = FE1 x(M) FE2 for any vector bundles E-l and E-2 over M. Then we study how a linear vector field on E can induce canonically a vector field on FE.

English 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 x(M) E-2) = FE1 x(M) FE2 for any vector bundles E-l and E-2 over M. Then we study how a linear vector field on E can induce canonically a vector field on FE.

Keywords in English

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

Released

01.11.2021

Publisher

Mathematical Society of Serbia

Location

Serbia

ISSN

0025-5165

Volume

73

Number

4

Pages from–to

243–255

Pages count

13

BIBTEX


@article{BUT174888,
  author="Miroslav {Doupovec} and Jan {Kurek} and Wlodzimierz {Mikulski},
  title="On jet like bundles of vector bundles",
  year="2021",
  volume="73",
  number="4",
  month="November",
  pages="243--255",
  publisher="Mathematical Society of Serbia",
  address="Serbia",
  issn="0025-5165"
}