NOVELTY - The method involves producing a tubular electrolyte body (10) using an injection molding process, where electrolyte mass is injected into a cavity in a fluent state. The cavity is formed by injection molding tools. A cylindrical casting core is arranged in the cavity before injection of the electrolyte mass into the cavity. A flange section (14) is formed in the electrolyte body. A support structure is located on the casting core before injection of the electrolyte mass into the cavity. The support structure is designed as a film, body with a planar extension or tubular/tube-like casing body.    USE - Method for manufacturing an electrolyte-supported tubular solid oxide fuel cell (SOFC). Can also be used for an anode-supported SOFC.    ADVANTAGE - The tubular electrolyte body is produced using the injection molding process, where the electrolyte mass is injected into the cavity in the fluent state, such that operational characteristics of the SOFC can be improved. The method enables easy release of the casting core from the cavity when the electrolyte mass is solidified. The method enables reduction of wall thickness of the electrolyte body between the casting core and the cavity, so that demolding of the electrolyte body and removal of the casting core from the electrolyte body can be safely performed without damaging the electrolyte body. The method enables the fuel cell to be manufactured with sufficient rigidity, high corrosion resistance and good electric conductivity.    DETAILED DESCRIPTION - The support structure is formed from cellulose derivative, methylcellulose or polymer on basis of acrylic acid, maleic acid, vinyl pyrrolidone, vinylimidazole or polyvinyl alcohol. An INDEPENDENT CLAIM is also included for an electrolyte-supported solid oxide fuel cell.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic partial sectional view of an electrolyte-supported tubular SOFC fuel cell.    Electrolyte-supported tubular SOFC fuel cell (1)    Tubular electrolyte body (10)    Flange section (14)    Electrode materials (16, 20)    Interconnector materials (17, 21)