Lie transformation groups in Riemannian geometry

我们计划工作的区域可以描述为黎曼几何中的李变换群。重点将集中在紧李群在欧氏空间和紧对称空间上的等距作用，但也将考虑更一般的黎曼流形。目标是了解黎曼流形上一些最有趣的作用类的轨道的几何和拓扑。这些方法既是几何的，也是代数的。

The area in wich we plan to work can be described as Lie transformation groups in Riemannian Geometry. The emphasis will be on isometric actions of compact Lie groups on Euclidean spaces and compact symmetric spaces, but more general Riemannian manifolds will also be considered. The goal is to understand the geometry and topology of the orbits of some of the most interesting classes of actions on Riemannian manifolds. The methods will be both geometric and algebraic.