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On generalized 7-dimensional Seifert fibrations over complex projective plane. (Russian. English summary) Zbl 1329.53051

Summary: We discuss topological properties of certain 7-dimensional generalized Seifert fibrations, and, in particular, of the Eschenburg spaces with positive sectional curvature. We compute the values of the first fractional Chern class \(\kappa\) of the corresponding \(S^3/\mathbb{Z}_q\) bundles over \(\mathbb{C}P ^1\).

MSC:

53C20 Global Riemannian geometry, including pinching
55R65 Generalizations of fiber spaces and bundles in algebraic topology
57N65 Algebraic topology of manifolds
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