The gauge-natural bilinear brackets on couples of linear vector fields and linear p-forms

Jan Kurek, Włodzimierz Mikulski

Abstract


We give complete description of all gauge-natural bilinear operators A transforming pairs of couples of linear vector fields and linear p-forms on a vector bundle E into couples of linear vector fields and linear p-forms on E and satisfying the Jacobi identity in Leibniz form.

Keywords


Natural operator; linear vector field; linear p-form; Jacobi identity in Leibniz form

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References


Kolar, I, Michor, P. W., Slovak, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.

Mikulski, W. M., The gauge-natural bilinear operators similar to the Dorfman–Courant bracket, Mediterr. J. Math. 17 (2) (2020), Art. 40, 25 pp.




DOI: http://dx.doi.org/10.17951/a.2021.75.2.73-92
Date of publication: 2022-02-21 20:04:38
Date of submission: 2022-02-18 19:54:31


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