2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119056Within the framework of the gauge O(1,3)\times O(1,3)-theory, an extension of the Belavin-Polyakov-Schwarz-Tyupkin ansatz is proposed by incorporation there the Levi-Civita tensor. The duality properties of the theory, admitting introduction the complex structure, are such that selfduality condition of the field tensor is an equation for complex-analytic function. New type of duality is found out.10 pages, Latex2eHigh Energy Physics - Theorytext