论文标题
Kaehler几何形状中的共形杀人形式
Conformal Killing forms in Kaehler geometry
论文作者
论文摘要
对于Kaehler歧管，我们明确确定中间程度中形式的共形杀伤形式的解决方案。特别是，我们完成了紧凑的Kaehler歧管上的保形杀戮形式的分类。我们给出了不来自汉密尔顿2形式的Kaehler歧管上的共形杀人形式的第一个例子。这些由Kaehler Einstein基地上的Calabi型歧管支持。在此设置中，我们还提供了紧密相关的Hermitian杀戮形式类别的结构结果和示例。
For Kaehler manifolds we explicitly determine the solution to the conformal Killing form equation in middle degree. In particular, we complete the classification of conformal Killing forms on compact Kaehler manifolds. We give the first examples of conformal Killing forms on Kaehler manifolds not coming from Hamiltonian 2-forms. These are supported by Calabi type manifolds over a Kaehler Einstein base. In this set up we also give structure results and examples for the closely related class of Hermitian Killing forms.
