ESTIMATION OF LOWER BOUNDS OF RICCI TENSORS ON THE BLOWING-UP OF THE COMPLEX PROJECTIVE SPACES

Adnène Ben Abdesselem (France) and Brahim Dridi (Tunisia)

Received December 7, 2007; Revised April 1, 2008

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.