The natural operators similar to the twisted Courant bracket one

2019
journal article
article
4
cris.lastimport.wos2024-04-09T18:11:05Z
dc.abstract.enGiven natural numbers m≥3 and p≥3, all Mfm-natural operators AH sending p-forms H∈Ωp(M) on m-manifolds M into bilinear operators AH:(X(M)⊕Ω1(M))×(X(M)⊕Ω1(M))→X(M)⊕Ω1(M) transforming pairs of couples of vector fields and 1-forms on M into couples of vector fields and 1-forms on M are founded. If m≥3 and p≥3, then that any (similar as above) Mfm-natural operator A which is defined only for closed p-forms H can be extended uniquely to the one A which is defined for all p-forms H is observed. If p=3 and m≥3, all Mfm-natural operators A (as above) such that AH satisfies the Leibniz rule for all closed 3-forms H on m-manifolds M are extracted. The twisted Courant bracket [−,−]H for all closed 3-forms H on m-manifolds M gives the most important example of such Mfm-natural operator A.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorMikulski, Włodzimierz - 130617 pl
dc.date.accessioned2019-11-22T12:48:22Z
dc.date.available2019-11-22T12:48:22Z
dc.date.issued2019pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.versionostateczna wersja wydawcy
dc.description.volume16pl
dc.identifier.articleid101pl
dc.identifier.doi10.1007/s00009-019-1367-1pl
dc.identifier.eissn1660-5454pl
dc.identifier.issn1660-5446pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/87734
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.typeinne
dc.subject.ennatural operatorpl
dc.subject.entwisted Courant bracketpl
dc.subject.enLeibniz rulepl
dc.subtypeArticlepl
dc.titleThe natural operators similar to the twisted Courant bracket onepl
dc.title.journalMediterranean Journal of Mathematicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
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