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Article

Mikulski, W. M.
On naturality of the Helmholtz operator. (English). Archivum Mathematicum, vol. 41 (2005), issue 2, pp. 145-149
MSC: 58A20, 58A32 | MR 2164663 | Zbl 1112.58004
Keywords:
natural operator; Euler morphism; Helmholtz operator
Summary:
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.
References:
[1] Kolář, I., Michor, P. W., Slovák, J.: Natural Operations in Differential Geometry. Springer-Verlag Berlin 1993. MR 1202431
[2] Kolář, I., Vitolo, R.: On the Helmholtz operator for Euler morphisms. Math. Proc. Camb. Phil. Soc. 135 (2003), 277–299. MR 2006065
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