Einstein-Kahler metrics on certain complex bundles

被引：1

作者：

Ben Abdesselem, A ^{[1
]}

Cherrier, P ^{[1
]}

机构：

[1] Univ Paris 06, UFR 920, F-75252 Paris 05, France

来源：

BULLETIN DES SCIENCES MATHEMATIQUES | 2000年 / 124卷 / 08期

关键词：

complex manifolds; first Chern class; Einstein-Kahler metrics;

D O I：

10.1016/S0007-4497(00)01064-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We Study a class of compact complex manifolds, with positive first Chern class, fibered over products of projective spaces. We prove that these bundles carry Einstein-Kahler metrics when the projective spaces of the basis have the same dimension. When this dimensional condition is not satisfied, we estimate their Ricci tensor in another paper. (C) 2000 Editions scientifiques et medicales Elsevier SAS.

引用

页码：659 / 684

页数：26

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