Geodesic
First-order covariant differential operators
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 19-30

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An internal description of the class of all nonlinear differential operators of the first order on the space of collections consisting of continuously differentiable vector and scalar fields on $\mathbb{R}^3$ is given. Operators of this class are invariant with respect to translations of $\mathbb{R}^3$ and are transformed by the covariant way under rotations of $\mathbb{R}^3$.
Keywords: first-order differential operator, divergence differential operator, vector field, pseudo-vector field, covariance. 
@article{INTO_2020_187_a2,
     author = {Yu. P. Virchenko and A. V. Subbotin},
     title = {First-order covariant differential operators},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {19--30},
     publisher = {mathdoc},
     volume = {187},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_187_a2/}
}
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Yu. P. Virchenko; A. V. Subbotin. First-order covariant differential operators. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Geometry and Mechanics, Tome 187 (2020), pp. 19-30. http://geodesic.mathdoc.fr/item/INTO_2020_187_a2/