  In this review the basic properties of nonrotating and slowly rotating
protoneutron stars in the relativistic mean-field approach are discussed. The
equation of state is the main input to the structure equations. The TM1
parameter set extended to the case of finite temperature is used to obtain the
mass-radius relation for protoneutron stars. The occurrence of unstable areas
in the mass-radius relation are presented. This allows for the existence of
distinctively different evolutionary of tracks of the protoneutron stars. The
low density protoneutron star configurations are estimated. The obtained stable
configurations for the fixed lepton number Y_L=0.4 are compared with ones
obtained for the fixed proton fraction Y_P=0.1776.
