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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU150397" target="_blank" >RIV/00216305:26210/24:PU150397 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.pmf.ni.ac.rs/filomat-content/2024/38-1/38-1-18-20303.pdf" target="_blank" >https://www.pmf.ni.ac.rs/filomat-content/2024/38-1/38-1-18-20303.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.2298/FIL2401241D" target="_blank" >10.2298/FIL2401241D</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

FILOMAT

ISSN

0354-5180

e-ISSN

2406-0933

Svazek periodika

38

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

RS - Srbská republika

Počet stran výsledku

20

Strana od-do

241-260

Kód UT WoS článku

001077614700001

EID výsledku v databázi Scopus

2-s2.0-85173958529