论文标题
与叶子最小的共同叶的四维谎言基团上的自然几乎赫尔米尼亚结构
Natural almost Hermitian structures on conformally foliated 4-dimensional Lie groups with minimal leaves
论文作者
论文摘要
令$（g，g）$是一个4维里曼式的谎言小组，具有二维左左右的保形叶子$ \ f $，叶子很少。让$ j $是$ g $的几乎是hermitian结构，适用于叶子$ \ f $。我们对几乎是kähler$（\ a \ k）$，intemable $（\ i）$或kähler$（\ k）$的这种结构进行分类。因此，我们在每个类中构建了几个新的多维示例。
Let $(G,g)$ be a 4-dimensional Riemannian Lie group with a 2-dimensional left-invariant, conformal foliation $\F$ with minimal leaves. Let $J$ be an almost Hermitian structure on $G$ adapted to the foliation $\F$. We classify such structures $J$ which are almost Kähler $(\A\K)$, integrable $(\I)$ or Kähler $(\K)$. Hereby we construct several new multi-dimensional examples in each class.
