  The $e_g$-orbital states with complex coefficients of the linear combination
of $x^2-y^2$ and $3z^2-r^2$ are studied for the ferromagnetic state in doped
manganites. Especially the focus is put on the competition among uniform
complex, staggered complex, and real orbital states. As the hole-doping $x$
increases, the real, the canted complex, and the staggered complex orbital
states appears successively. Uniform complex state analoguous to Nagaoka
ferromagnet does not appear. These complex states can be expressed as a
resonating state among the planer orbitals as the orbital liquid, accompanied
by no Jahn-Teller distortion.
