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.
Related projects:	Geometry of liber bundles