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Nonnegatively curved 5-manifolds with almost maximal symmetry rank. (English) Zbl 1294.53038
Summary: We show that a closed, simply connected, nonnegatively curved 5-manifold admitting an effective, isometric $$T^2$$ action is diffeomorphic to one of $$S^5$$, $$S^3 \times S^2$$, $$S^3\tilde{\times} S^2$$ or the Wu manifold $$\mathrm {SU}(3)/\mathrm{SO}(3)$$.
Reviewer: Reviewer (Berlin)

MSC:
 53C20 Global Riemannian geometry, including pinching 57S25 Groups acting on specific manifolds 51M25 Length, area and volume in real or complex geometry
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