A process for producing a spatially shaped carrier layer (3) which is of foil-like design from hard brittle material includes: providing a basic mold (1) having a spatially shaped surface, depositing a material which is in the gas or liquid phase on the spatially shaped surface, solidifying the material which has been deposited on the spatially shaped surface to form a hard brittle material layer (3), and separating the hard brittle material layer (3) from the spatially shaped surface in order to obtain the carrier layer (3) which consists of hard brittle material.