On integrability of discrete variational systems: Octahedron relations

Raphael Boll, Matteo Petrera, Yuri B. Suris

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We elucidate consistency of the so-called corner equations which are elementary building blocks of Euler-Lagrange equations for 2D 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.

Original languageEnglish
Pages (from-to)645-668
Number of pages24
JournalInternational Mathematics Research Notices
Issue number3
StatePublished - 2016
Externally publishedYes


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