The type of a maximal isotropic subbundle formula_20 is the real dimension of the subbundle that annihilates E. Equivalently it is 2"N" minus the real dimension of the projection of formula_20 onto the tangent bundle T. In other words, the type of a maximal isotropic subbundle is the codimension of its projection onto the tangent bundle. In the complex case one uses the complex dimension and the type is sometimes referred to as the complex type. While the type of a subbundle can in principle be any integer between 0 and 2"N", generalized almost complex structures cannot have a type greater than "N" because the sum of the subbundle and its complex conjugate must be all of formula_48