Turkish Journal of Mathematics
DOI
10.3906/mat-1711-37
Abstract
All natural bilinear operators transforming pairs of couples of vector fields and $1$-forms into couples of vector fields and $1$-forms are found. All natural bilinear operators as above satisfying the Leibniz rule are extracted. All natural Lie algebra brackets on couples of vector fields and $1$-forms are collected.
Keywords
Natural operator, vector field, $1$-form, Leibniz rule
First Page
1853
Last Page
1862
Recommended Citation
DOUPOVEC, MIROSLAV; KUREK, JAN; and MIKULSKI, WLODZIMIERZ
(2018)
"The natural brackets on couples of vector fields and $1$-forms,"
Turkish Journal of Mathematics: Vol. 42:
No.
4, Article 24.
https://doi.org/10.3906/mat-1711-37
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss4/24
