Manuscript X-D@3 · X-D-v3.tex · section · b7774529

D6: gauge corollary with explicit representatives

D6: gauge corollary with explicit representatives · lines 1287–1299

For $F \in G_{U}$ , generated formally by $κ ξ + κ^{2} ζ$ , $ξ, ζ \in g_{U}$ , the complete metric law is

h^{'} = h + K ξ, k^{'} = k + L_{ξ} h + K ζ + \frac{1}{2} L_{ξ} K ξ .

The transformed backgrounds are fixed smooth inputs, independent of $ε$ .

Displayed formulas in this passage

unlabeled · line 1293
$h^{'} = h + K ξ, k^{'} = k + L_{ξ} h + K ζ + \frac{1}{2} L_{ξ} K ξ .$