Address: Department of Mathematics and Statistics, Masaryk University, Faculty of Science, Kotlářská 2, 611 37 Brno, Czech Republic
E-mail: slovak@muni.cz
Abstract: 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.
AMSclassification: primary 53A32; secondary 53A55, 58A20.
Keywords: natural operator, tensor field, natural functional, Lie derivative.
DOI: 10.5817/AM2020-5-301