  The motion of membranes interacting with external fields in space-times with
curvature and torsion is considered. The intrinsic and extrinsic properties of
the immersion are fused together to form a stress tensor for the corresponding
material hypersurface. This geometro-elastic stress tensor is part of the total
stress tensor by which it looses the symmetry and divergenceless properties
because of the existence of torsion. The equation of motion of the membrane is
given by equating the total stress tensor to a non-zero value determined by the
curvature and torsion of the ambient space-time. Dirac and \"Onder-Tucker
bubbles are considered as special cases. An example of the membrane motion on a
manifold admitting a generalized Killing spinor is given.
