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On integrability of discrete variational systems. Octahedron relations
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We elucidate consistency of the so-called corner equations which are elementary building blocks of Euler-Lagrange equations for two-dimensional pluri-Lagrangian problems. We show that their consistency can be derived from the existence of two independent octahedron relations. We give explicit formulas for octahedron relations in terms of corner equations.
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Cited by 1 Pith paper
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Discrete Lagrangian Multiforms for ABS Equations I: Quad Equations
Trident Lagrangian 2-forms with integer-valued branch-tracking fields have corner equations equivalent to the ABS quad equations and restore almost-closure.
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