Address: Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech Republic
E-mail: janyska@math.muni.cz
Abstract: 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.
AMSclassification: primary 53A32.
Keywords: tensor field, natural differential operator, Lie derivative, Yano-Ako operator.
DOI: 10.5817/AM2019-5-289