  We consider the Skyrme model using the explicit parameterization of the
rotation group SO(3) through elements of its algebra. Topologically nontrivial
solutions already arise even in the one-dimensional case because the
fundamental group of SO(3) is Z_2. We explicitly find and analyze
one-dimensional static solutions. Among them, there are topologically
nontrivial solutions with finite energy among them. We propose a new class of
projective models whose target spaces are arbitrary real projective spaces
RP^d.
