2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77834It is shown that if a minimal ruled surface admits a Kähler Yamabe minimizer, then this metric must be generalized Kähler-Einstein and the underlying holomorphic vector bundle of the ruled surface must be quasi-stable.Minor stylistic changes in Chapter 2, Expanded Acknowledgment on page 12, 13 pages, LatexDifferential Geometrytext