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

页码：525 / 528

页数：3

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