2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219758We give a simple geometric explanation for the similarity transformation mapping one-dimensional conformal mechanics to free-particle system. Namely, we show that this transformation corresponds to the inversion of the Klein model of Lobachevsky space (non-compact complex projective plane). We also extend this picture to the N=2k superconformal mechanics described in terms of Lobachevsky superspace.5 pagesHigh Energy Physics - Theorytext