The measure of holomorphicness of a real submanifold of an almost Hermitian manifold

In this note we define the measure of holomorphicness $\mu (M)$ of a compact real submanifold $M$ of an almost Hermitian manifold $(\overline{M},\overline{J},\overline{g})$. The number $\mu (M)\in [0,1]$verifies the following properties: $M$ is a complex submanifold iff $\mu (M)=1$; if $\dim M$ is odd, then $\mu (M)=0$. Explicit examples of surfaces in ${\mathbb C}^{2}$ are obtained, showing that $\mu (S^{2})=\frac{1}{5}$ and that $0\leq \mu (T)\leq \frac{3}{8}$, $T$ being the Clifford torus.