2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77721A new class of Higgs bundles is introduced in a natural setting. Existence and nonexistence results for Higgs-Hermitian-Yang-Mills metrics are proved.21 pages These files are also located at : ftp://ftp.math.uiowa.edu/pub/seaman/preprints/HiggsBdlsHoloForms/ The current version contains an improvement of the main result and streamlined expositionDifferential GeometryAlgebraic Geometry53C55,53C56, 32C17text