论文标题
可溶解的谎言组上拉伸的非阳性Weyl连接
Stretched non-positive Weyl connections on solvable Lie groups
论文作者
论文摘要
我们确定具有不变的拉伸非阳性的Weyl连接的可溶性谎言组的结构,并找到可解决的谎言组类别,这些谎言组承认并且不承认这种连接。在维度4中,我们将可解决的谎言组和紧凑型溶剂组完全分类,这些溶剂组接纳了不变的SNP连接。
We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting such connections. In dimension 4 we fully classify solvable Lie groups and compact solvmanifolds which admit invariant SNP connections.