Deformations of special Lagrangian submanifolds

In [7], R. C, McLean showed that the moduli space of nearby submanifolds of a smooth, compact, orientable special Lagrangian submanifold L in a Calabi-Yau manifold X is a smooth manifold and its dimension is equal to the dimension of H-1(L), the space of harmonic 1-forms on L. In this paper, we will show that the moduli space of all infinitesimal special Lagrangian deformations of L in a symplectic manifold with nonintegrable almost complex structure is also a smooth manifold of dimension b(1)(L), the first Betti number of L.