  In this contribution, the relativistic quantum motions of the
position-dependent mass (PDM) oscillator field with a scalar potential in the
context of the Kaluza-Klein theory is investigated. Through a purely analytical
analysis, the eigensolutions of this system have been obtained. The results
showed that the KGO is influenced not only by curvature, torsion and the
quantum flux associated with the extra dimension, but also by the possibility
of modifying the mass term of the Klein-Gordon equation.
