\[{\sin}^{2}\theta\left(\frac{{\partial}^{2}\mathcal{K}}{{\partial\theta}^{2}}+%
\left((1-2\gamma)\tan\theta+2(\delta+\epsilon-\tfrac{1}{2})\cot\theta\right)%
\frac{\partial\mathcal{K}}{\partial\theta}-4\alpha\beta\mathcal{K}\right)+%
\frac{{\partial}^{2}\mathcal{K}}{{\partial\phi}^{2}}+\left((1-2\delta)\cot\phi%
-(1-2\epsilon)\tan\phi\right)\frac{\partial\mathcal{K}}{\partial\phi}=0.\]