Publication result detail

On the Courant bracket on couples of vector fields and p-forms

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

Original Title

On the Courant bracket on couples of vector fields and p-forms

English Title

On the Courant bracket on couples of vector fields and p-forms

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

All natural bilinear operators A transforming pairs of couples of vector fields and p-forms on m-manifolds M into couples of vector fields and p-forms on M are described. It is observed that any natural skew-symmetric bilinear operator A as above coincides with the generalized Courant bracket up to three (two, respectively) real constants.

English abstract

All natural bilinear operators A transforming pairs of couples of vector fields and p-forms on m-manifolds M into couples of vector fields and p-forms on M are described. It is observed that any natural skew-symmetric bilinear operator A as above coincides with the generalized Courant bracket up to three (two, respectively) real constants.

Keywords

Natural operator, vector field, p-form

Key words in English

Natural operator, vector field, p-form

Authors

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

RIV year

2019

Released

01.12.2018

Publisher

University of Mariae Curie-Sklodowska

Location

Poland

ISBN

0365-1029

Periodical

Annales Universitatis Mariae Curie Sklodowska

Volume

72

Number

2

State

Republic of Poland

Pages from

29

Pages to

36

Pages count

8

BibTex

@article{BUT156222,
  author="Miroslav {Doupovec} and Jan {Kurek} and Wlodzimierz {Mikulski}",
  title="On the Courant bracket on couples of vector fields and p-forms",
  journal="Annales Universitatis Mariae Curie Sklodowska",
  year="2018",
  volume="72",
  number="2",
  pages="29--36",
  doi="10.17951/a.2018.72.2.29",
  issn="0365-1029"
}