Meromorphic differentials with twisted coefficients on compact Riemann surfaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125943This note is to concern a generalization to the case of twisted coefficients of the classical theory of Abelian differentials on a compact Riemann surface. We apply the Dirichlet's principle to a modified energy functional to show the existence of differentials with twisted coefficients of the second and third kinds under a suitable assumption on residues.20 pagesDifferential GeometryComplex Variables53C07Meromorphic differentials with twisted coefficients on compact Riemann surfacestext