- Tytuł:
- The gradient and the divergence for vector-valued forms
- Autorzy:
-
Klekot, Agnieszka
Pierzchalski, Antoni - Powiązania:
- https://bibliotekanauki.pl/articles/2202058.pdf
- Data publikacji:
- 2023
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
vector forms
gradient
divergence
Laplacians on vector forms
Weitzenbock type formula
postać wektorowa
dywergencja - Opis:
- 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.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 31--45
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł