On the Helmholtz operator for Euler morphisms

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Authors

KOLÁŘ Ivan VITOLO Raffaele

Year of publication 2003
Type Article in Periodical
Magazine / Source Math. Proc. Camb. Phil. Soc.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Euler morphism; Helmholtz operator; natural operator
Description The variational sequence describes the Helmholtz conditions for local variationality in terms of the Helmholtz map, which is defined on a factor space. We study a tensor modification called the Helmholtz operator. For the first and second order cases we prove that, up to a multiplicative constant, the Helmholtz operator is the unique natural operator of the type in question.
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