2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124619We prove a theorem which asserts that the Lie algebra of all holomorphic vector fields on a compact Kähler manifold with a perturbed extremal metric has the structure similar to the case of an unperturbed extremal Kähler metric proved by Calabi.10pagesDifferential Geometry53C55; 53C21, 55N91Holomorphic vector fields and perturbed extremal Kähler metricstext