  We show that Skyrmions with massless pions in hyperbolic space provide a good
approximation to Skyrmions with massive pions in Euclidean space, for a
particular relationship between the pion mass and the curvature of hyperbolic
space. Using this result we describe how a Skyrmion with massive pions in
Euclidean space can be approximated by the holonomy along circles of a
Yang-Mills instanton. This is a generalization of the approximation of
Skyrmions by the holonomy along lines of an instanton, which is only applicable
to massless pions.
