Manuscript VII-A-ST@1 · VII-A-ST.tex · section · c39a67a3

Density covariance and the second-order intertwiner

Density covariance and the second-order intertwiner · lines 928–939

VII-A-ST@1#eq:metric-transform

Expansion of the metric pullback gives

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

Holding $k$ fixed while changing $h$ by $K ξ$ is generally not this transformation.

Displayed formulas in this passage

VII-A-ST@1#eq:metric-transform · line 932
$h^{'} k^{'} = h + K ξ, = k + L_{ξ} h + K ζ + \frac{1}{2} L_{ξ}^{2} η .$