2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77213A representation of generalized Weierstrass formulae for an immersion of generic surfaces into a 4-dimensional complex space in terms of spinors treated as minimal left ideals of Clifford algebras is proposed. The relation between integrable deformations of surfaces via mVN-hierarchy and integrable deformations of spinor fields on the surface is also discussed.15 pages, LaTeX2e, corrected versionDifferential GeometryGeneralized Weierstrass representation for surfaces in terms of Dirac-Hestenes spinor fieldtext