2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/109974With the help of contraction method we study the harmonic oscillator in spaces with degenerate metrics, namely, on Galilei plane and in the flat 3D Cayley-Klein spaces $R_3(j_2,j_3).$ It is shown that the inner degrees of freedom are appeared which physical dimensions are different from the dimension of the space.8 pagesMathematical Physicstext