Let f:MβM be a biholomorphisms on two--dimensional a complex
manifold, and let XβM be a compact f--invariant set such that
fβ£X is asymptotically dissipative and without sinks periodic points. We
introduce a solely dynamical obstruction to dominated splitting, namely
critical point. Critical point is a dynamical object and capture many of the
dynamical properties of their one--dimensional counterpart