The notion of primary shadow radiation is introduced. This is a wave f
ield created by the transverse diffusion in the vicinity of the geomet
rical optics boundary behind a black screen with a special property. T
his special screen is located on the boundary between two neighboring
Rieman spaces and consists of two faces. These faces together are not
transparent to the wave field; but, each separately is transparent. We
call this screen the Riemann black screen. The well known classical m
odels of black screens are interpreted as special sets of Riemann scre
ens.