Geodesic
Remarks on natural differential operators with tensor fields
Archivum mathematicum, Tome 55 (2019) no. 5, pp. 289-308.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We study natural differential operators transforming two tensor fields into a tensor field. First, it is proved that all bilinear operators are of order one, and then we give the full classification of such operators in several concrete situations.
DOI : 10.5817/AM2019-5-289
Classification : 53A32
Keywords: tensor field; natural differential operator; Lie derivative; Yano-Ako operator 
@article{10_5817_AM2019_5_289,
     author = {Jany\v{s}ka, Josef},
     title = {Remarks on natural differential operators with tensor fields},
     journal = {Archivum mathematicum},
     pages = {289--308},
     publisher = {mathdoc},
     volume = {55},
     number = {5},
     year = {2019},
     doi = {10.5817/AM2019-5-289},
     mrnumber = {4057926},
     zbl = {07144744},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-289/}
}
TY  - JOUR
AU  - Janyška, Josef
TI  - Remarks on natural differential operators with tensor fields
JO  - Archivum mathematicum
PY  - 2019
SP  - 289
EP  - 308
VL  - 55
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-289/
DO  - 10.5817/AM2019-5-289
LA  - en
ID  - 10_5817_AM2019_5_289
ER  - 
%0 Journal Article
%A Janyška, Josef
%T Remarks on natural differential operators with tensor fields
%J Archivum mathematicum
%D 2019
%P 289-308
%V 55
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-289/
%R 10.5817/AM2019-5-289
%G en
%F 10_5817_AM2019_5_289
Janyška, Josef. Remarks on natural differential operators with tensor fields. Archivum mathematicum, Tome 55 (2019) no. 5, pp. 289-308. doi : 10.5817/AM2019-5-289. http://geodesic.mathdoc.fr/articles/10.5817/AM2019-5-289/

Cité par Sources :