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On the twisted Dorfman-Courant like brackets

2020
journal article
article
10.7494/OpMath.2020.40.6.703
Journal
Opuscula Mathematica
70
Author
Mikulski Włodzimierz
Volume
40
Number
6
Pages
703-723
ISSN
1232-9274
eISSN
2300-6919
Keywords in English

natural operator

linear vector field

linear form

twisted) Dorfman-Courantbracke

Jacobi identity in Leibniz form

Language
English
Journal language
English
Abstract in English

There are completely described allVBm,n-gauge-natural operatorsCwhich, like tothe Dorfman–Courant bracket, send closed linear3-forms on a smooth(C∞) vector bundleEintoR-bilinear operatorsCH: transforming pairs of linear sections of $T E⊕T∗E→E $ into linear sections of Then all suchCwhich also, like to the twisted Dorfman–Courant bracket, satisfy both some“restricted” condition and the Jacobi identity in Leibniz form are extracted.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
1
cris.lastimport.wos2024-04-10T00:07:18Z
dc.abstract.enThere are completely described allVBm,n-gauge-natural operatorsCwhich, like tothe Dorfman–Courant bracket, send closed linear3-forms $H∈Γl−closE(∧3T∗E)$on a smooth(C∞) vector bundleEintoR-bilinear operatorsCH: $ΓlE(T E⊕T∗E)×ΓlE(T E⊕T∗E)→ΓlE(T E⊕T∗E)$ transforming pairs of linear sections of $T E⊕T∗E→E $ into linear sections of $T E⊕T∗E→E.$ Then all suchCwhich also, like to the twisted Dorfman–Courant bracket, satisfy both some“restricted” condition and the Jacobi identity in Leibniz form are extracted.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorMikulski, Włodzimierz - 130617 pl
dc.date.accessioned2020-12-08T19:09:14Z
dc.date.available2020-12-08T19:09:14Z
dc.date.issued2020pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number6pl
dc.description.physical703-723pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume40pl
dc.identifier.doi10.7494/OpMath.2020.40.6.703pl
dc.identifier.eissn2300-6919pl
dc.identifier.issn1232-9274pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/258463
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.subject.ennatural operatorpl
dc.subject.enlinear vector fieldpl
dc.subject.enlinear formpl
dc.subject.entwisted) Dorfman-Courantbrackepl
dc.subject.enJacobi identity in Leibniz formpl
dc.subtypeArticlepl
dc.titleOn the twisted Dorfman-Courant like bracketspl
dc.title.journalOpuscula Mathematicapl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T00:07:18Z
dc.abstract.enpl
There are completely described allVBm,n-gauge-natural operatorsCwhich, like tothe Dorfman–Courant bracket, send closed linear3-forms $H∈Γl−closE(∧3T∗E)$on a smooth(C∞) vector bundleEintoR-bilinear operatorsCH: $ΓlE(T E⊕T∗E)×ΓlE(T E⊕T∗E)→ΓlE(T E⊕T∗E)$ transforming pairs of linear sections of $T E⊕T∗E→E $ into linear sections of $T E⊕T∗E→E.$ Then all suchCwhich also, like to the twisted Dorfman–Courant bracket, satisfy both some“restricted” condition and the Jacobi identity in Leibniz form are extracted.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Mikulski, Włodzimierz - 130617
dc.date.accessioned
2020-12-08T19:09:14Z
dc.date.available
2020-12-08T19:09:14Z
dc.date.issuedpl
2020
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
6
dc.description.physicalpl
703-723
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
40
dc.identifier.doipl
10.7494/OpMath.2020.40.6.703
dc.identifier.eissnpl
2300-6919
dc.identifier.issnpl
1232-9274
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/258463
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.subject.enpl
natural operator
dc.subject.enpl
linear vector field
dc.subject.enpl
linear form
dc.subject.enpl
twisted) Dorfman-Courantbracke
dc.subject.enpl
Jacobi identity in Leibniz form
dc.subtypepl
Article
dc.titlepl
On the twisted Dorfman-Courant like brackets
dc.title.journalpl
Opuscula Mathematica
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Mikulski, Włodzimierz

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