Proposition: Plateau response law

For every smooth $r$,

No onset commutator occurs in this particular variation.

Proof. The coefficients of $Q_{K\xi }$ have support in $\mathrm{supp}\xi \subset U$, where ${\sigma }_{\epsilon }=1$. Consequently

The tensor ${{\mathcal{L}}^{\mathrm{cov}}}_{\xi }r$ has compact support. The retarded left-inverse identity gives (eq:metricjet).