当前位置: X-MOL 学术Commun. Anal. Geom. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Geodesic orbit spaces in real flag manifolds
Communications in Analysis and Geometry ( IF 0.7 ) Pub Date : 2021-01-08 , DOI: 10.4310/cag.2020.v28.n8.a7
Brian Grajales 1 , Lino Grama 1 , Caio J. C. Negreiros 1
Affiliation  

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.

中文翻译:

实旗流形中的测地轨道空间

我们描述真实标志流形上的不变度量,并对具有以下属性的度量进行分类:每个测地线是一个单参数子组的轨道。这种度量标准称为围棋(大地轨道)。与复杂情况相反,在实数旗形流形上,各向同性表示可以具有等效的子模块,这使得不变度量依赖于更多参数,并允许我们找到存在非平凡进行度量的更多情况。
更新日期:2021-01-10
down
wechat
bug