Inhomogeneous spaces of positive curvature (Q1802572)

The author analyses the geometry and the topology of a compact simply- connected positively-curved Riemannian 6-manifold \(F'\) which is closely related to the flag manifold \(F\) over \(\mathbb{C} P^ 2\), and of an infinite series of simply connected circle bundles over \(F'\) (having also positive sectional curvature). In this context he shows that all these spaces are biquotients of the Lie group \(SU(3)\), but are not homeomorphic to a homogeneous space of positive curvature.