We show that every Sasakian manifold in dimensions 2k + 1 is locally genera
ted by a free real function of 2k variables. This function is a Sasakian an
alogue of the Kahler potential for the Kahler geometry. It is also shown th
at every locally Sasakian-Einstein manifold in 2k + 1 dimensions is generat
ed by a locally Kahler-Einstein manifold in dimension 2k.