On the Helmholtz operator for Euler morphisms
| Authors | |
|---|---|
| Year of publication | 2003 |
| Type | Article in Periodical |
| Magazine / Source | Math. Proc. Camb. Phil. Soc. |
| MU Faculty or unit | |
| 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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