On naturality of the Helmholtz operator

W. M. Mikulski

Institute of Mathematics, Jagiellonian University, Reymonta 4, Krakow, Poland

E-mail. mikulski@im.uj.edu.pl

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.

AMSclassification. 58A20.

Keywords. Natural operator, Euler morphism, Helmholtz operator.