Features of manganite single crystal growth by the non-crucible floating zone melting method with radiation heating are discussed. Compounds( La1-xAx)MnO3 (A = Sr, Ca, Ba) with x < 0.2 can be fabricated using feed rods of (La1-xAx)yMnO3 composition with y = 0.93-0.97 because Mn is evaporated from the melt larger than other elements. Due to the fact that the distribution coefficient (K = CSolid/CLiquid) for Ca and Ba is considerably less than unity growing of such crystals with x > 0.2 is rather unstable, and element distribution along an ingot is inhomogeneous. To fabricate quality crystals travelling solvent floating zone method was used.
Results of real structure effect on various physical properties are demonstrated. Some results obtained at perfect single crystals such as R(T) dependence, structural transitions, neutron dynamics, polaron formation, etc.