论文标题
4维几乎敏捷流形的第二核粉指标
Second-Chern-Einstein metrics on 4-dimensional almost-Hermitian manifolds
论文作者
论文摘要
我们研究了4维第二核粉几乎是缓慢的歧管。在紧凑型情况下，我们观察到，在某个假设下，李的riemannian双重形式是杀伤载体场。我们使用该观察结果来描述4维紧凑的第二核粉局部局部合成形式的歧管，并给出了一些这种歧管的例子。最后，我们研究了关于单模型的几乎亚伯利亚谎言代数的第二陈化因素问题，将那些接受左右不变的第二切尔恩 - 因斯坦公制的人分类，并具有平行的非零lee形式。
We study 4-dimensional second-Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis the Riemannian dual of the Lee form is a Killing vector field. We use that observation to describe 4-dimensional compact second-Chern-Einstein locally conformally symplectic manifolds and we give some examples of such manifolds. Finally, we study the second-Chern-Einstein problem on unimodular almost-abelian Lie algebras, classifying those that admit a left-invariant second-Chern-Einstein metric with a parallel non-zero Lee form.
