  Procedure of finding of the Bogomolny-Prasad-Sommerfield monopole solutions
in the Georgi-Glashow model is investigated in detail on the backgrounds of
three space models of constant curvature: Euclid, Riemann, Lobachevski's.
Classification of possible solutions is given. It is shown that among all
solutions there exist just three ones which reasonably and in a one-to-one
correspondence can be associated with respective geometries. It is pointed out
that the known non-singular BPS-solution in the flat Minkowski space can be
understood as a result of somewhat artificial combining the Minkowski space
background with a possibility naturally linked up with the Lobachewski
geometry. The standpoint is brought forth that of primary interest should be
regarded only three specifically distinctive solutions -- one for every curved
space background. In the framework of those arguments the generally accepted
status of the known monopole BPS-solution should be critically reconsidered and
even might be given away.
