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Lifting vector fields from manifolds to the -jet prolongation of the tangent bundle

2020
journal article
article
10.33044/revuma.v61n1a10
Journal
Revista de la Unión Matemática Argentina
40
Author
Kurek Jan

Mikulski Włodzimierz
Volume
61
Number
1
Pages
161-168
ISSN
0041-6932
eISSN
1669-9637
URL
http://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a10
Access date
2020-07-22
Language
English
Journal language
English
Abstract in English

If m≥3 and r≥0, we deduce that any natural linear operator lifting vector fields from an m-manifold M to the r-jet prolongation JrTM of the tangent bundle TM is the composition of the flow lifting Jr corresponding to the r-jet prolongation functor Jr with a natural linear operator lifting vector fields from M to TM. If 0≤s≤r and m≥3, we find all natural linear operators transforming vector fields on M into base-preserving fibred maps JrTM→JsTM.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.abstract.enIf m≥3 and r≥0, we deduce that any natural linear operator lifting vector fields from an m-manifold M to the r-jet prolongation JrTM of the tangent bundle TM is the composition of the flow lifting Jr corresponding to the r-jet prolongation functor Jr with a natural linear operator lifting vector fields from M to TM. If 0≤s≤r and m≥3, we find all natural linear operators transforming vector fields on M into base-preserving fibred maps JrTM→JsTM.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorKurek, Janpl
dc.contributor.authorMikulski, Włodzimierz - 130617 pl
dc.date.accession2020-07-22pl
dc.date.accessioned2020-07-22T08:41:13Z
dc.date.available2020-07-22T08:41:13Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number1pl
dc.description.physical161-168pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume61pl
dc.identifier.doi10.33044/revuma.v61n1a10pl
dc.identifier.eissn1669-9637pl
dc.identifier.issn0041-6932pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/176876
dc.identifier.weblinkhttp://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a10pl
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subtypeArticlepl
dc.titleLifting vector fields from manifolds to the $r$-jet prolongation of the tangent bundlepl
dc.title.journalRevista de la Unión Matemática Argentinapl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
If m≥3 and r≥0, we deduce that any natural linear operator lifting vector fields from an m-manifold M to the r-jet prolongation JrTM of the tangent bundle TM is the composition of the flow lifting Jr corresponding to the r-jet prolongation functor Jr with a natural linear operator lifting vector fields from M to TM. If 0≤s≤r and m≥3, we find all natural linear operators transforming vector fields on M into base-preserving fibred maps JrTM→JsTM.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Kurek, Jan
dc.contributor.authorpl
Mikulski, Włodzimierz - 130617
dc.date.accessionpl
2020-07-22
dc.date.accessioned
2020-07-22T08:41:13Z
dc.date.available
2020-07-22T08:41:13Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
1
dc.description.physicalpl
161-168
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
61
dc.identifier.doipl
10.33044/revuma.v61n1a10
dc.identifier.eissnpl
1669-9637
dc.identifier.issnpl
0041-6932
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/176876
dc.identifier.weblinkpl
http://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a10
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subtypepl
Article
dc.titlepl
Lifting vector fields from manifolds to the $r$-jet prolongation of the tangent bundle
dc.title.journalpl
Revista de la Unión Matemática Argentina
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Mikulski, Włodzimierz
No affiliation
Kurek, Jan

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