  We present a geometrical canonical description for superconducting membranes.
We consider a general action which includes a general class of superconducting
extended objects (strings and domain walls). The description is inspired in the
ADM framework of general relativity but, instead of the standard canonical
variables a different kind of phase space is considered.
  The Poisson algebra of the constraints and the counting of degrees of freedom
is performed. The new description is illustrated considering a superconducting
domain wall on a curved background spacetime.
