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 : 0000-00-00

Article Type : Research Paper

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