The notion of a structure tensor of section of first order natural bundles with homogeneous standard fibre is introduced. Properties of the structure tensor operator are studied. The universal factorization property of the structure tensor operator is proved and used for classification of first order $*$-natural differential operators $\underline{D}:\underline{T\times T} \rightarrow \underline{T}$ for $n\ge 3$.
@article{107444,
author = {Piotr Kobak},
title = {The structure tensor and first order natural differential operators},
journal = {Archivum Mathematicum},
volume = {028},
year = {1992},
pages = {121-138},
zbl = {0785.53014},
mrnumber = {1222280},
language = {en},
url = {http://dml.mathdoc.fr/item/107444}
}
Kobak, Piotr. The structure tensor and first order natural differential operators. Archivum Mathematicum, Tome 028 (1992) pp. 121-138. http://gdmltest.u-ga.fr/item/107444/
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