  In a recent paper (J.R. Morris, Quant. Stud. Math. Found. 2 (2015) 359), an
inhomogeneous compactification of the extra dimension of a five-dimensional
Kaluza-Klein metric has been shown to generate a position-dependent mass (PDM)
in the corresponding four-dimensional system. As an application of this
dimensional reduction mechanism, a specific static dilatonic scalar field has
been connected with a PDM Lagrangian describing a well-known nonlinear PDM
oscillator. Here we present more instances of this construction that lead to
PDM systems with radial symmetry, and the properties of their corresponding
inhomogeneous extra dimensions are compared with the ones in the nonlinear
oscillator model. Moreover, it is also shown how the compactification
introduced in this type of models can alternatively be interpreted as a novel
mechanism for the dynamical generation of curvature.
