(1) Department of Mathematics, Ohio State University, 43210 Columbus, Ohio, USA;(2) Universidade Estadual de Campinas IMECC, Caixa Postal 6065, 13.081 Campinas, S.P., Brazil
Abstract:
We prove that if a simply connected compact Riemannian manifold has pure non negative curvature operator then its irreducible components (in the de Rham decomposition) are homeomorphic to spheres.