Remarks on natural differential operators with tensor fields

Josef Janyška

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Remark on bilinear operations on tensor fields

Jan Slovák (2020)

Archivum Mathematicum

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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.