Method for manufacturing a hollow object from a material comprising threads mechanically linked to one another to form a first shell. The method comprises a reference step that involves shaping the first shell on a support, a first step, subsequent to the reference step, that involves covering the first shell with a sealed membrane and obtaining a pressure difference on opposite sides of the membrane, the pressure on the side of a surface of the membrane in contact with the first shell being less than the pressure on the side of a free surface of the membrane, and a second step, simultaneous with and/or following the first subsequent step, that involves causing a change of state and/or the bonding of some or all of the threads forming the first shell.