The gauge-natural bilinear brackets on couples of linear vector fields and linear p-forms
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
Full Text:
PDFReferences
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
Statistics
Total abstract view - 514
Downloads (from 2020-06-17) - PDF - 385
Indicators
Refbacks
- There are currently no refbacks.
Copyright (c) 2021 Jan Kurek, Włodzimierz Mikulski