2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155021We construct local normal forms of pseudo-Riemannian projectively equivalent 2-dimensional metrics.6 pages. This is an appendix to the paper "A solution of another problem of Sophus Lie: 2-dimensional metrics admitting precisely one projective vector field" of V. MatveevDifferential GeometryMathematical Physics35Q72, 37J35, 58F07, 53A20, 53B80Appendix: Dini theorem for pseudo-Riemannian metricstext