2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68742We prove that 2 dimensional Integral currents (i.e. integer multiplicity 2 dimensional rectifiable currents) which are almost complex cycles in an almost complex manifold admitting locally a compatible symplectic form are smooth surfaces aside from isolated points and therefore are J-holomorphic curves.67 pagesAnalysis of PDEsDifferential Geometry49Q05; 49Q15; 32Q65text