2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75333The paper is related to the classification of special manifolds and projective special manifolds. One of the result of this paper is that, if the Weil-Petersson metric on a projective special manifold is complete, then the Hodge metrc and the Weil-Petersson metrc are equivalent.Differential GeometryMathematical PhysicsGradient estimates of the Yukawa couplingtext