Locally Sasakian manifolds

被引：29

作者：

Godlinski, M ^{[1
]}

Kopczynski, W ^{[1
]}

Nurowski, P ^{[1
]}

机构：

[1] Univ Warsaw, Inst Fizyki Teoretycznej, Warsaw, Poland

来源：

CLASSICAL AND QUANTUM GRAVITY | 2000年 / 17卷 / 18期

关键词：

D O I：

10.1088/0264-9381/17/18/101

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that every Sasakian manifold in dimensions 2k + 1 is locally generated by a free real function of 2k variables. This function is a Sasakian analogue of the Kahler potential for the Kahler geometry. It is also shown that every locally Sasakian-Einstein manifold in 2k + 1 dimensions is generated by a locally Kahler-Einstein manifold in dimension 2k.

引用

页码：L105 / L115

页数：11

共 14 条

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