Abstract
We study a class of compact complex manifolds, with positive first Chern class C 1 , fibered over products of projective spaces. When the spaces of the basis don't have the same dimension, we know that these bundles cannot carry Einstein–Kähler metrics. In this article, we construct a metric belonging to C 1 , with an optimal lower bound of the Ricci curvature.
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More From: Journal de mathématiques pures et appliquées
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