Manuscript X-E-ST@1 · X-E-ST.tex · section · 44614221

The invariant two-jet surface

E2: plateau covariance and the coupled-jet obstruction › The invariant two-jet surface · lines 851–866

X-E-ST@1#eq:jetlaw

The complete two-jet transformation is

h^{'} k^{'} = h + K ξ, K ξ = L_{ξ} η, = k + L_{ξ} h + K ζ + \frac{1}{2} L_{ξ}^{2} η, ϕ^{'} = F^{*} ϕ, F^{*} = exp (κ X_{ξ} + κ^{2} X_{ζ}) .

Proposition prop:covariance preserves (eq:coupled); truncating a natural equation at the geometric order used there is legitimate.

Displayed formulas in this passage

X-E-ST@1#eq:jetlaw · line 854
$h^{'} k^{'} = h + K ξ, K ξ = L_{ξ} η, = k + L_{ξ} h + K ζ + \frac{1}{2} L_{ξ}^{2} η, ϕ^{'} = F^{*} ϕ, F^{*} = exp (κ X_{ξ} + κ^{2} X_{ζ}) .$