The natural brackets on couples of vector fields and 1-forms | Zendy

Miroslav Doupovec | Zendy; Jan Kurek | Zendy; Włodzimierz M. Mikulski | Zendy

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The natural brackets on couples of vector fields and 1-forms

Author(s) -

Miroslav Doupovec,

Jan Kurek,

Włodzimierz M. Mikulski

Publication year - 2018

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1711-37

Subject(s) - mathematics , vector field , pure mathematics , bilinear interpolation , algebra over a field , bilinear form , natural (archaeology) , vector (molecular biology) , lie algebra , field (mathematics) , geometry , biochemistry , statistics , chemistry , archaeology , gene , history , recombinant dna

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.

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