2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119176In this paper we proof that the Holomorphic angle for compact minimal surfaces in the sphere $S^5$ with constant Contact angle and with a parallel normal vector field must be constant.Differential GeometrySymplectic Geometry53C42, 53D10A Characterization of Minimal Surfaces in $S^5$ with Parallel Normal Vector Fieldtext