Remark on bilinear operations on tensor fields
Archivum mathematicum, Tome 56 (2020) no. 5, pp. 301-305
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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.
DOI :
10.5817/AM2020-5-301
Classification :
53A32, 53A55, 58A20
Keywords: natural operator; tensor field; natural functional; Lie derivative
Keywords: natural operator; tensor field; natural functional; Lie derivative
@article{10_5817_AM2020_5_301,
author = {Slov\'ak, Jan},
title = {Remark on bilinear operations on tensor fields},
journal = {Archivum mathematicum},
pages = {301--305},
publisher = {mathdoc},
volume = {56},
number = {5},
year = {2020},
doi = {10.5817/AM2020-5-301},
mrnumber = {4188744},
zbl = {07285967},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2020-5-301/}
}
Slovák, Jan. Remark on bilinear operations on tensor fields. Archivum mathematicum, Tome 56 (2020) no. 5, pp. 301-305. doi: 10.5817/AM2020-5-301
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