Kähler-Einstein metrics and projective embeddings

被引：1
|
作者：
Dominique Hulin
机构：
[1] Université Paris-Sud,Département de Mathématiques
来源：
The Journal of Geometric Analysis | 2000年 / 10卷 / 3期
关键词：
53C25; 53C55; Kähler-Einstein; projective; isometric embeddings;
D O I：
10.1007/BF02921947
中图分类号：
学科分类号：
摘要：
We prove that the complex projective space equipped with its Fubini-Study metric admits no compact Kähler-Einstein submanifold with nonpositive Einstein constant. In particular, the Calabi-Yau metrics carried by an algebraic K3 surface cannot be realized by projective embeddings.
引用
收藏
页码：525 / 528
页数：3
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