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DOUPOVEC, M. KUREK, J. MIKULSKI, W.
Original Title
Description of jet like functors on vector bundles by means of module bundle functors on the bases
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
(gauge) bundle functor; vector bundle; module bundle; jet
Authors
DOUPOVEC, M.; KUREK, J.; MIKULSKI, W.
Released
1. 1. 2024
Publisher
UNIV NIS, FAC SCI MATH
Location
NIS
ISBN
0354-5180
Periodical
FILOMAT
Year of study
38
Number
1
State
Republic of Serbia
Pages from
241
Pages to
260
Pages count
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" }