Pm. Gadea et al., ABBENA-GARBIEROS CLASS K-2 CIRCLE-PLUS K-4 OF KAHLER HOMOGENEOUS STRUCTURES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(4), 1998, pp. 383-386
It is proved that if a simply connected irreducible homogeneous Kahler
ian manifold of real dimension 2n greater than or equal to 4 admits a
non-vanishing Kahlerian homogeneous structure belonging to Abbena-Garb
iero's class K2 + K4, then it is a model of negative constant holomorp
hic sectional curvature. (C) Academie des Sciences/Elsevier, Paris