J 2020

Remark on bilinear operations on tensor fields

SLOVÁK, Jan

Basic information

Original name

Remark on bilinear operations on tensor fields

Authors

SLOVÁK, Jan (203 Czech Republic, guarantor, belonging to the institution)

Edition

Archivum Mathematicum, Brno, Department of Mathematics, Faculty of Science of Masaryk University, Brno, 2020, 0044-8753

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

is not subject to a state or trade secret

References:

RIV identification code

RIV/00216224:14310/20:00114667

Organization unit

Faculty of Science

UT WoS

000592770500004

EID Scopus

2-s2.0-85096766851

Keywords in English

natural operator; tensor field; natural functional; Lie derivative

Tags

Tags

International impact, Reviewed
Changed: 13/1/2021 16:49, Mgr. Marie Novosadová Šípková, DiS.

Abstract

In the original language

This short note completes the results of [3] by removing the locality assumption on the operators. After providing a quick survey on (infinitesimally) natural operations, we show that all the bilinear operators classified in [3] can be characterized in a completely algebraic way, even without any continuity assumption on the operations.

Links

GX19-28628X, research and development project
Name: Homotopické a homologické metody a nástroje úzce související s matematickou fyzikou
Investor: Czech Science Foundation