Geodesic
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 
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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. http://geodesic.mathdoc.fr/articles/10.5817/AM2020-5-301/

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