On Ricci curvature of certain complex bundles

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• 作者：Abdesselem ; Adn&egrave ; ne Ben ; Cherrier ; Pascal
• 关键词：Kä ; hler manifolds ; First Chern class ; Ricci curvature ; 35J60 ; 53C55 ; 58G30 ; Varié ; té ; s kä ; hleriennes ; Premi&egrave ; re classe de Chern ; Courbure de Ricci
• 刊名：Journal des Mathematiques Pures et Appliquees
• 出版年：2000
• 期刊代码：29_00217824
• 类别：mt
• 出版时间：November 9, 2000
• 卷：79
• 期：9
• 页码：919-940
• 文件大小：190 K

摘要

We study a class of compact complex manifolds, with positive first Chern class C₁, 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 C₁, with an optimal lower bound of the Ricci curvature.