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@article{1587596, author = {Janyška, Josef}, article_location = {Brno}, article_number = {5}, doi = {http://dx.doi.org/10.5817/AM2019-5-289}, keywords = {Tensor field; natural differential operator; Lie derivative; Yano-Ako operator}, language = {eng}, issn = {0044-8753}, journal = {Archivum Mathematicum}, title = {Remarks on natural differential operators with tensor fields}, url = {https://dml.cz/handle/10338.dmlcz/147942}, volume = {55}, year = {2019} }
TY - JOUR ID - 1587596 AU - Janyška, Josef PY - 2019 TI - Remarks on natural differential operators with tensor fields JF - Archivum Mathematicum VL - 55 IS - 5 SP - 289-308 EP - 289-308 PB - MU Brno SN - 00448753 KW - Tensor field KW - natural differential operator KW - Lie derivative KW - Yano-Ako operator UR - https://dml.cz/handle/10338.dmlcz/147942 L2 - https://dml.cz/handle/10338.dmlcz/147942 N2 - We study natural differential operators transforming two tensor fields into a tensor field. First, it is proved that all bilinear operators are of order one, and then we give the full classification of such operators in several concrete situations. ER -
JANYŠKA, Josef. Remarks on natural differential operators with tensor fields. \textit{Archivum Mathematicum}. Brno: MU Brno, 2019, vol.~55, No~5, p.~289-308. ISSN~0044-8753. Available from: https://dx.doi.org/10.5817/AM2019-5-289.
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