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arxiv: 0809.2304 · v4 · pith:LH44YEPNnew · submitted 2008-09-13 · 🧮 math.DG

A positively curved manifold homeomorphic to T₁S⁴

classification 🧮 math.DG
keywords dimensionalmanifoldactionadmitsconnectedconstructcurvaturecurved
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We construct a new 7-dimensional manifold with positive sectional curvature which is 2-connected with \pi_3=\Z_2 and admits an isometric group action with one dimensional quotient.

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