On the inverse problem of the calculus of variations in field theory

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, , Citation M Henneaux 1984 J. Phys. A: Math. Gen. 17 75 DOI 10.1088/0305-4470/17/1/010

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1 Center for Theoretical Phys., Univ. of Texas, Austin, TX, USA

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Abstract

The inverse problem of the calculus of variations is investigated in the case of field theory. Uniqueness of the action principle is demonstrated for the vector Laplace equation in a non-decomposable Riemannian space, as well as for the harmonic map equation.

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