论文标题
多元流的全局稳定性在紧凑的简单连接的简单谎言基团第二等级的全球稳定性
Global stability of the Pluriclosed flow on compact simply-connected simple Lie groups of rank two
论文作者
论文摘要
我们计算了（1,1）-aeppli的同时简单连接的简单谎言组的（第二等级）。特别是，我们验证它们是维度一个，并由来自杀戮形式的Bismut平坦指标的类别产生。这产生了这些歧管上多瓣流的稳定性。此外，我们表明，对于紧凑的简单连接的简单谎言，排名第二，二元组的共同体，以及仅剩下的不变形式而产生的鸡蛋骨和aeppli的同胞，我们计算了SU（3）和Spin（3）和Spin（5）的整个boss-spin（5）的结构，它们配备了左in-Invariant Is iSvariant iSvariant iSvariant Isopic，
We compute the (1,1)-Aeppli cohomology of compact simply-connected simple Lie groups of rank two. In particular, we verify that they are of dimension one and generated by the classes of the Bismut flat metrics coming from the Killing forms. This yields a result on the stability of the pluriclosed flow on these manifolds. Moreover, we show that for compact simply-connected simple Lie groups of rank two the Dolbeaut cohomology, as well as the Bott-Chern and the Aeppli cohomologies, arise from just the left-invariant forms and we computed the whole Bott-Chern diamonds of SU(3) and Spin(5) when they are equipped with a left-invariant isotropic complex structure.
