Abstract: The result of this paper, announced in [3], is an
improvement of the one obtained in [2] concerning the blowing-up of over a Here, we give a better estimation
of the Ricci tensor in terms of its metric. The method we use was introduced in
[1] and adapted to a dissymmetric case in [3]. It consists, in a first time, on
finding a lower envelope of all admissible functions on the concerned manifolds.
Keywords and phrases: complex projective space, Ricci tensor.