The variational sequence describes the Helmholtz conditions for local varia- tionality in terms of the Helmholtz map, which is defined on a factor space. We study a tensor modification of this construction and characterize a unique repre- sentative, which is called the Helmholtz operator. For the first and the second order cases we prove that, up to a multiplicative constant, the Helmholtz operator is the unique natural operator of the type in question.

On the Helmholtz operator for Euler morphisms

Vitolo, Raffaele
2003-01-01

Abstract

The variational sequence describes the Helmholtz conditions for local varia- tionality in terms of the Helmholtz map, which is defined on a factor space. We study a tensor modification of this construction and characterize a unique repre- sentative, which is called the Helmholtz operator. For the first and the 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/438794
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