An example of compact Kähler manifold with nonnegative quadratic bisectional curvature (Q2838968)

The authors construct a compact Kähler manifold of nonnegative quadratic bisectional curvature which does not admit any Kähler metric of nonnegative orthogonal bisectional curvature. The manifold is the 7-dimensional Kähler C-space (compact simply connected homogeneous Kähler manifold) with the canonical Kähler-Einstein metric of positive scalar curvature and with the second Betti number equal to 1.NEWLINENEWLINEWe recommend the conjectures stated by the authors in the reviewed paper for Kähler manifolds with nonnegative quadratic bisectional curvature.