<p>The device has a workpiece rotary table for accommodating a workpiece holder that fixes hollow bodies. The table and a tool holder are rotatable around a rotational axis. A drive device provides a rotary step movement and a cyclical linear movement between the table and the tool holder to enable the bodies to be formed by processing tools. The workpiece holder has a recess to accommodate the bodies and a wall section (42) that limits the recess. The wall section with adjustable geometry is formed by a flexible membrane that limits a fluid channel (40) formed in the workpiece holder.</p>
