Almost complex parallelizable manifolds: Kodaira dimension and special structures

Abstract We study the Kodaira dimension of a real parallelizable manifold M , with an almost complex structure J in standard form respect to given parallelism. For $$X = (M, J)$$ X = ( M , J ) we give conditions under which $${{\,\textrm{kod}\,}}(X) 0$$ kod 0 . provide examples case $$M G \times G$$ G × where is compact connected Lie group. Finally describe geometrical properties manifolds framework statistical geometry.