论文标题
真实国旗歧管中的测地轨道空间
Geodesic orbit spaces in real flag manifolds
论文作者
论文摘要
我们描述了真实标志歧管上不变的指标，并用以下属性对这些指标进行分类：每个大地测量是一个参数子组的轨道。这样的指标称为G.O. （地球轨道）。与复杂情况相反，在实际标志歧管上，各向同性表示可以具有等效的子模型，这使不变的指标取决于更多参数，并允许我们找到更多非平凡g.o的情况。存在指标。
We describe the invariant metrics on real flag manifolds and classify those with the following property: every geodesic is the orbit of a one-parameter subgroup. Such a metric is called g.o. (geodesic orbit). In contrast to the complex case, on real flag manifolds the isotropy representation can have equivalent submodules, which makes invariant metrics depend on more parameters and allows us to find more cases in which non-trivial g.o. metrics exist.
