On the structure of the Euler mapping

Physics – Mathematical Physics

Scientific paper

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7 pages

Scientific paper

The goal of this paper is to give acomplete description of the Lagrange
functions L satisfying $\cal E (L)=0$. In other words we shall study the kernel
of the linear mapping $\cal L (J^1) \ni L \to \cal E (L) \in \Omega^1(J^2)$,
which will be referred to as the Euler mapping.

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