  We construct the Hamiltonian of the D=11 Supermembrane with topological
conditions on configuration space. It may be interpreted as a supermembrane
theory where all configurations are wrapped in an irreducible way on a
calibrated submanifold of a compact sector of the target space. We prove that
the spectrum of its Hamiltonian is discrete with finite multiplicity. The
construction is explicitly perfomed for a compact sector of the target space
being a $2g$ dimensional flat torus and the base manifold of the Supermembrane
a genus $g$ compact Riemann surface. The topological conditions on
configuration space work in such a way that the $g=2$ case may be interpreted
as the intersection of two D=11 Supermembranes over $g=1$ surfaces, with their
corresponding topological conditions. The discreteness of the spectrum is
preserved by the intersection procedure. Between the configurations satisfying
the topological conditions there are minimal configurations which describe
minimal immersions from the base manifold to the compact sector of the target
space. They allow to map the D=11 Supermembrane with topological conditions to
a symplectic noncommutative Yang-Mills theory. We analyze geometrical
properties of these configurations in the context of Supermembranes and
D-branes theories. We show that this class of configurations also minimizes the
Hamiltonian of D-branes theories.
