Non-negatively curved 5-manifolds with almost maximal symmetry rank

Abstract

We show that a closed, simply-connected, non-negatively curved 5-manifold admitting an effective, isometric $T^2$ action is diffeomorphic to one of $S^5$, $S^3\times S^2$, $S^3\tilde{\times }{S}^2$ (the non-trivial $S^3$-bundle over $S^2$) or the Wu manifold $SU(3)/SO(3)$.

arXiv commentWe fix an omission in a previous posting (arXiv:0906.3870v1 [math.DG])

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