Einstein-Kahler metrics on a class of bundles involving integral weights

被引：2
|
作者：
Ben Abdesselem, A [1 ]
Cherrier, P [1 ]
机构：
[1] Univ Paris 06, UFR920, F-75252 Paris 05, France
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2002年 / 81卷 / 03期
关键词：
complex manifolds; first Chern class; Einstein-Kahler metrics;
D O I：
10.1016/S0021-7824(01)01237-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that some compact complex bundles, defined over Pd1-1 x...x Pdn-1 (where P-d is the complex projective space of complex dimension d), and depending on n integral weights a(1) ,..., a(n), have positive first Chem class if 1 less than or equal to a(h) less than or equal to d(h) - 1 for all h, and carry Einstein-Kahler metrics when a(1) = ... = a(n) and d(1) = ... = d(n). (C) 2002 Editions scientifiques et medicales Elsevier SAS. All rights reserved.
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页码：259 / 281
页数：23
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