2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/192701We present a new method for computing the best approximation to a Killing vector on closed 2-surfaces that are topologically S^2. When solutions of Killing's equation do not exist, this method is shown to yield results superior to those produced by existing methods. In addition, this method appears to provide a new tool for studying the horizon geometry of distorted black holes.4 pages, 3 figures, submitted to Physical Review D, revtex4General Relativity and Quantum Cosmologytext