Equation 12.7.1A99038CD10B4

\begin{equation} f_ F=\left(\frac{\mathrm{e}^ F\mathrm{d}V}{\omega ^ n}\right)^{1/n},\qquad \Gamma _ F(T)=f_ F(\det P_ T)^{1/n}\sigma _ T,\qquad \mathfrak D_ F(T)=\Gamma _ F(T)(X). \end{equation}