[en] The complete analysis of the possible ellipsoidal equilibrium configurations and of the normal modes of tbe quadrupole oscillations is done for the rotatang nuclei. The consideration is restricted by the frames of the liquid-drop model taking into account the Fermi- statistics of nucleons. The giant backbending and the form isomers are predicted. This model gives the essentially more complicated normal oscillations spectrum than the usual liquid drop model. The giant quadrupole resonance splits into five branches due to rotation. The equilibrium conditions for the Fermi-liquid drop are different from those of the usual hydrodynamics