- Turkish Journal of Mathematics
- Vol: 42 Issue: 4
- The natural brackets on couples of vector fields and $1$-forms
The natural brackets on couples of vector fields and $1$-forms
Authors : Miroslav Doupovec, Jan Kurek, Wlodzimierz Mikulski
Pages : 1853-1862
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Publication Date : 9999-12-31
Article Type : Makaleler
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