Atiyah and Manton (1989 Phys. Lett. B 222 438) have outlined a scheme to ob
tain approximations to the SU(2) skyrmions from instantons in R-4. In this
paper we apply this scheme to construct, in an explicit form, approximation
s to static spherically symmetric SU(N) skyrmions with various baryon numbe
rs. In particular, we show how to obtain these skyrmions from instantons us
ing harmonic maps into complex projective spaces. AMS classification scheme
number: 35G30.