The gradient and the divergence for vector-valued forms

• Autorzy: Klekot Agnieszka , Pierzchalski Antoni

Identyfikatory

DOI

10.17512/jamcm.2023.1.03

• Języki publikacji: EN

Abstrakty

EN

On a Riemannian manifold, two differential operators: the gradient and the divergence are defined and investigated in the bundle of alternating differential forms of any degree with values in a vector bundle. Several algebraic, analytic and geometric properties of the two operators are derived. The vector character of the gradient on forms turns out to be a source of possible applications.

Słowa kluczowe

EN

vector forms; gradient; divergence; Laplacians on vector forms; Weitzenbock type formula

PL

postać wektorowa; gradient; dywergencja

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 1
• Strony: 31--45
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Klekot Agnieszka

• Electronic and IT Technical School in Lodz, Łódź, Poland

autor

Pierzchalski Antoni

• Faculty of Mathematics and Informatics, University of Lodz, Łódź, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).