HIGHLIGHTS
SUMMARY
The authors show that this structure occurs in models that are described by the so-called "second" variational principle, where the argument of the Lagrangian is a closed differential form. Divergence-free tensors are nothing but the second form of the Euler-Lagrange equations. Given two vectors X, Y, one denotes X ⊗ Y=X Y T the rank-one matrix with entries x i y j. Paths ² 7→ v ² must be such that v 0=u and ² 7→ F is differentiable. The authors ask in addition that v ² ≡ u away from a compact subset . . .
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