2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77930It is shown that the integrability conditions of the equations satisfied by the local Frenet frame associated with a holomorphic curve in a complex Grassmann manifold coincide with a special class of nonabelian Toda equations. A local moving frame of a holomorphic immersion of a Riemann surface into a complex Grassmann manifold is constructed and the corresponding connection coefficients are calculated.LaTeX2e, amsart, 23 pagesDifferential GeometryMathematical PhysicsAlgebraic GeometryComplex Variablestext