Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1711-37
Keywords
Natural operator, vector field, $1$-form, Leibniz rule
First Page
1853
Last Page
1862
Recommended Citation
DOUPOVEC, M, KUREK, J, & MIKULSKI, W (2018). The natural brackets on couples of vector fields and $1$-forms. Turkish Journal of Mathematics 42 (4): 1853-1862. https://doi.org/10.3906/mat-1711-37