"The natural brackets on couples of vector fields and $1$-forms" by MIROSLAV DOUPOVEC, JAN KUREK et al.

Turkish Journal of Mathematics

Article Title

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

Authors

MIROSLAV DOUPOVEC
JAN KUREK
WLODZIMIERZ MIKULSKI

DOI

10.3906/mat-1711-37

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.

First Page

1853

Last Page

1862

Recommended Citation

DOUPOVEC, MIROSLAV; KUREK, JAN; and MIKULSKI, WLODZIMIERZ (2018) "The natural brackets on couples of vector fields and $1$-forms," Turkish Journal of Mathematics: Vol. 42: No. 4, Article 24. https://doi.org/10.3906/mat-1711-37
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/24

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