Geodesic
On naturality of the Helmholtz operator
Archivum mathematicum, Tome 41 (2005) no. 2, pp. 145-149

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MR Zbl
We deduce that all natural operators of the type of the Helmholtz map from the variational calculus in fibered manifolds are the constant multiples of the Helmholtz operator.
We deduce that all natural operators of the type of the Helmholtz map from the variational calculus in fibered manifolds are the constant multiples of the Helmholtz operator.
Classification : 58A20, 58A32
Keywords: natural operator; Euler morphism; Helmholtz operator 
Mikulski, W. M. On naturality of the Helmholtz operator. Archivum mathematicum, Tome 41 (2005) no. 2, pp. 145-149. http://geodesic.mathdoc.fr/item/ARM_2005_41_2_a1/
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2005_41_2_a1/}
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[1] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry. Springer-Verlag Berlin 1993. | MR

[2] Kolář, I., Vitolo, R.: On the Helmholtz operator for Euler morphisms. Math. Proc. Camb. Phil. Soc. 135 (2003), 277–299. | MR