| SLOVÁK, Jan. Remark on bilinear operations on tensor fields. Archivum Mathematicum. Brno: Department of Mathematics, Faculty of Science of Masaryk University, Brno, 2020, vol. 56, No 5, p. 301-305. ISSN 0044-8753. Available from: https://dx.doi.org/10.5817/AM2020-5-301. |
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@article{1727738,
author = {Slovák, Jan},
article_location = {Brno},
article_number = {5},
doi = {http://dx.doi.org/10.5817/AM2020-5-301},
keywords = {natural operator; tensor field; natural functional; Lie derivative},
language = {eng},
issn = {0044-8753},
journal = {Archivum Mathematicum},
title = {Remark on bilinear operations on tensor fields},
url = {https://dml.cz/handle/10338.dmlcz/148440},
volume = {56},
year = {2020}
}
TY - JOUR
ID - 1727738
AU - Slovák, Jan
PY - 2020
TI - Remark on bilinear operations on tensor fields
JF - Archivum Mathematicum
VL - 56
IS - 5
SP - 301-305
EP - 301-305
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
SN - 00448753
KW - natural operator
KW - tensor field
KW - natural functional
KW - Lie derivative
UR - https://dml.cz/handle/10338.dmlcz/148440
L2 - https://dml.cz/handle/10338.dmlcz/148440
N2 - 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.
ER -
SLOVÁK, Jan. Remark on bilinear operations on tensor fields. \textit{Archivum Mathematicum}. Brno: Department of Mathematics, Faculty of Science of Masaryk University, Brno, 2020, vol.~56, No~5, p.~301-305. ISSN~0044-8753. Available from: https://dx.doi.org/10.5817/AM2020-5-301.
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