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

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

2011-11-14

arxiv.org/abs/1111.3183v1

Mathematics

Differential Geometry

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

Scientific paper

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 $SU(3)/SO(3)$.

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