  Some special solutions of the Einstein-Maxwell action with a non-negative
cosmological constant and a very heavy point mass particle have been obtained.
The solutions correspond to static spacetime of locally constant curvature in
its spatial part and a constant magnetic field of a magnetic monopole together
with deficit of angle at the location of point mass. The quantum mechanics of a
point particle in these spacetimes in the absence of angular deficit has been
solved algebraically both relativistically and non-relativistically. It has
been also shown that these 2-dimensional Hamiltonians have the degeneracy group
of GL(2,c) type and para-supersymmetry of arbitrary order or shape invariance,
which is originated from a SO(4,c) group.
