Resumen de On weak holonomy

B. Alexandrov

• We prove that SU(n) (n≥3) and Sp(n)U(1) (n≥2) are the only connected Lie groups acting transitively and effectively on some sphere which can be weak holonomy groups of a Riemannian manifold without having to contain its holonomy group. In both cases the manifold is Kähler.