A property of the spherical derivative of an entire curve in complex projective space

We establish a type of the Picard’s theorem for entire curves in $$P^n({\mathbb {C}})$$ whose spherical derivative vanishes on inverse images hypersurface targets. Then, as corollary, we prove that there is an union D finite number hypersurfaces complex projective space such every curve f , if $$f^{\#}$$ bounded $$ f^{-1}(D)$$ then plane, and hence, Brody curve.