Locally Sasakian Manifolds
Locally Sasakian Manifolds
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DOI：
10.1088/0264-9381/17/18/101
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发表时间：
2000-05
影响因子：
3.5
通讯作者：
Michal Godli'nski;Wojciech Kopczy'nski;P. Nurowski
中科院分区：
文献类型：
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作者：
Michal Godli'nski;Wojciech Kopczy'nski;P. Nurowski
我们证明了2k + 1维的Sasakian流形是由2k元的自由真实的函数局部生成的。这个函数是一个Sasakian模拟的Kahler潜在的Kahler几何。证明了2k + 1维的局部Sasakian-Einstein流形是由2k维的局部Kahler-Einstein流形生成的.
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.