局部共形几乎Kähler流形的曲率张量和叶理的一些性质
Some properties of curvature tensors and foliations of locally conformal almost Kähler manifolds
摘要：
研究了一类局部共形的几乎Kähler结构，证明了在一定条件下，这类结构是几乎Kähler结构的一个子类.我们证明了局部共形几乎Kähler流形允许一个标准叶状，其叶子是超曲面，其中曲率向量场与Lee向量场成比例。的geodesibility的叶子的特点也是，他们的极小值与不可压缩的李向量场沿树叶。
英文摘要：
We investigate a class of locally conformal almost Kähler structures and prove that, under some conditions, this class is a subclass of almost Kähler structures. We show that a locally conformal almost Kähler manifold admits a canonical foliation whose leaves are hypersurfaces with mean curvature vector field proportional to the Lee vector field. The geodesibility of the leaves is also characterized, and their minimality coincides with the incompressibility of the Lee vector field along the leaves.
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