Publication detail

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

DOUPOVEC, M. KUREK, J. MIKULSKI, W.

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

All natural bilinear natural 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

Authors

DOUPOVEC, M.; KUREK, J.; MIKULSKI, W.

Released

25. 7. 2018

Publisher

Tubitak

Location

Turecko

ISBN

1300-0098

Periodical

TURKISH JOURNAL OF MATHEMATICS

Year of study

42

Number

4

State

Republic of Turkey

Pages from

1853

Pages to

1862

Pages count

10

URL

https://web-a-ebscohost-com.ezproxy.lib.vutbr.cz/ehost/pdfviewer/pdfviewer?vid=1&sid=0823a959-6ea8-43c1-bf82-00baeeb37264%40sdc-v-sessmgr01

BibTex

@article{BUT149537,
  author="Miroslav {Doupovec} and Jan {Kurek} and Wlodzimierz {Mikulski}",
  title="The natural brackets on couples of vector fields and 1-forms",
  journal="TURKISH JOURNAL OF MATHEMATICS",
  year="2018",
  volume="42",
  number="4",
  pages="1853--1862",
  doi="10.3906/mat-1711-37",
  issn="1300-0098",
  url="https://web-a-ebscohost-com.ezproxy.lib.vutbr.cz/ehost/pdfviewer/pdfviewer?vid=1&sid=0823a959-6ea8-43c1-bf82-00baeeb37264%40sdc-v-sessmgr01"
}