论文标题
曲率张量和局部保形的叶子的某些特性几乎是kähler歧管
Some properties of curvature tensors and foliations of locally conformal almost Kähler manifolds
论文作者
论文摘要
我们研究了一类局部保形的几乎是Kähler结构，并证明在某些条件下，此类是几乎是Kähler结构的子类。我们表明，局部保形的几乎是kähler歧管，承认了一个规范的叶面，其叶子是叶子的高空弯曲面，其平均曲率矢量场与Lee Vector Field成正比。还表征了叶子的地位性，它们的最小性与沿叶子沿李矢量场的不可压缩性一致。
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.
