Estimation of Ricci tensor on certain Fano manifolds (Q1974148)

The authors study the blowing-up of the complex projective space over one or two independent projective subspaces. These spaces are Fano, and, in a disymmetric case, cannot carry an Einstein-Kähler metric. Using a constant introduced by \textit{G. Tian} [Invent. Math. 89, 225-246 (1987; Zbl 0599.53046)], the authors give a lower bound of the Ricci tensor of some metric belonging to the first Chern class, whose existence is obtained by solving a complex Monge-Ampère equation.