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.
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Derdzínski, A., Mercuri, F. & Noronha, M.H. Manifolds with pure non-negative curvature operator. Bol. Soc. Bras. Mat 18, 13–22 (1987). https://doi.org/10.1007/BF02590020
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DOI: https://doi.org/10.1007/BF02590020