Definition 2.6 Let $(X,J,\omega,\Omega)$ be a Calabi–Yau $m$-fold with metric $g$, and $N$ an oriented real $m$-dimensional submanifold of $X$. We call $N$ a special Lagrangian submanifold, or SL $m$-fold for short, if $N$ is calibrated with respect to $\mathop{\rm Re}\Omega$.