Detail publikačního výsledku

On jet like bundles of vector bundles

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

Original Title

On jet like bundles of vector bundles

English Title

On jet like bundles of vector bundles

Type

WoS Article

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

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

Key words in English

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

Authors

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

RIV year

2022

Released

01.11.2021

Publisher

Mathematical Society of Serbia

Location

Serbia

ISBN

0025-5165

Periodical

Matematicki Vesnik

Volume

73

Number

4

State

Republic of Serbia

Pages from

243

Pages to

255

Pages count

13

URL

http://www.vesnik.math.rs/vol/mv21402.pdf

Full text in the Digital Library

http://hdl.handle.net/11012/203099

BibTex

@article{BUT174888,
  author="Miroslav {Doupovec} and Jan {Kurek} and Wlodzimierz {Mikulski}",
  title="On jet like bundles of vector bundles",
  journal="Matematicki Vesnik",
  year="2021",
  volume="73",
  number="4",
  pages="243--255",
  issn="0025-5165",
  url="http://www.vesnik.math.rs/vol/mv21402.pdf"
}

Documents

mv21402