2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78393We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator $- 4 d^2/ds^2 + κ^2 (s)$ with potential given by the curvature of a closed curve.Latex2.09, 9 pagesDifferential Geometry58G25, 53A05A geometric estimate for a periodic Schrödinger operator whose potential is the curvature of a spherical curvetext