2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97907We prove that a Kahler supermetric on a supermanifold with one complex fermionic dimension admits a super Ricci-flat supermetric if and only if the bosonic metric has vanishing scalar curvature. As a corollary, it follows that Yau's theorem does not hold for supermanifolds.4 pagesHigh Energy Physics - TheoryDifferential Geometrytext