Detail publikačního výsledku

Description of jet like functors on vector bundles by means of module bundle functors on the bases

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

Originální název

Description of jet like functors on vector bundles by means of module bundle functors on the bases

Anglický název

Description of jet like functors on vector bundles by means of module bundle functors on the bases

Druh

Článek WoS

Originální abstrakt

Let C be an admissible category over manifolds and VBC be the category of vector bundles with bases being C-objects and vector bundle maps with base maps being C-maps. Assume that any C-morphism is a local isomorphism. We describe all jet like functors (i.e. fiber product preserving gauge bundle functors) of order r on VBC by means of Jr(-, R)-module bundle functors on C. Then we describe all jet like functors of vertical type of order r on VBC by means of vector bundle functors on C of order r. As an application we classify jet like functors of some type on VBm. Finally, we determine all natural Jr(M, R)-module bundle structures on the vector bundles JrE -* M and JrvE -* M, where E -* M is a vector bundle with m-dimensional basis and m >= 2.

Anglický abstrakt

Let C be an admissible category over manifolds and VBC be the category of vector bundles with bases being C-objects and vector bundle maps with base maps being C-maps. Assume that any C-morphism is a local isomorphism. We describe all jet like functors (i.e. fiber product preserving gauge bundle functors) of order r on VBC by means of Jr(-, R)-module bundle functors on C. Then we describe all jet like functors of vertical type of order r on VBC by means of vector bundle functors on C of order r. As an application we classify jet like functors of some type on VBm. Finally, we determine all natural Jr(M, R)-module bundle structures on the vector bundles JrE -* M and JrvE -* M, where E -* M is a vector bundle with m-dimensional basis and m >= 2.

Klíčová slova

(gauge) bundle functor; vector bundle; module bundle; jet

Klíčová slova v angličtině

(gauge) bundle functor; vector bundle; module bundle; jet

Autoři

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

Rok RIV

2025

Vydáno

01.01.2024

Nakladatel

UNIV NIS, FAC SCI MATH

Místo

NIS

ISSN

0354-5180

Periodikum

Filomat

Svazek

38

Číslo

1

Stát

Srbská republika

Strany od

241

Strany do

260

Strany počet

20

URL

https://www.pmf.ni.ac.rs/filomat-content/2024/38-1/38-1-18-20303.pdf

BibTex

@article{BUT187399,
  author="Miroslav {Doupovec} and Jan {Kurek} and Wlodzimierz {Mikulski}",
  title="Description of jet like functors on vector bundles by means of module bundle functors on the bases",
  journal="Filomat",
  year="2024",
  volume="38",
  number="1",
  pages="241--260",
  doi="10.2298/FIL2401241D",
  issn="0354-5180",
  url="https://www.pmf.ni.ac.rs/filomat-content/2024/38-1/38-1-18-20303.pdf"
}