Equation 15.18.434261D49DE46D

\begin{equation} \Delta _ g\mathcal R =|\nabla \Psi |^2+|\bar\nabla \Psi |^2 +2\operatorname {Re}\langle \Delta _ g\Psi ,\Psi \rangle -\operatorname {Re}\langle A\mathbin {\cdot }\Psi ,\Psi \rangle . \end{equation}