论文标题
紧凑型复杂歧管上的Bismut Einstein指标
Bismut Einstein metrics on compact complex manifolds
论文作者
论文摘要
我们观察到，对于Bismut Einstein度量，Bismut Ricci形式的（2,0）部分是Chern Laplacian的特征向量。在这一观察结果的帮助下，我们证明了具有非零爱因斯坦常数的Bismut Einstein度量是KählerEinstein。此外，对于以爱因斯坦常数为零的班斯穆特爱因斯坦指标，我们证明它们实际上是bismut ricci平坦的。
We observe that, for a Bismut Einstein metric, the (2,0)-part of Bismut Ricci form is an eigenvector of the Chern Laplacian. With the help of this observation, we prove that a Bismut Einstein metric with non-zero Einstein constant is Kähler Einstein. Additionally, for Bismut Einstein metrics with zero Einstein constant, we prove that they are actually Bismut Ricci flat.
