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
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 -
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
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