论文标题
半简单紧凑的谎言组中的cartan指数图
The Cartan exponential map in semi-simple compact Lie groups
论文作者
论文摘要
在本文中,我们在半简单的紧凑型谎言基团中引入了一种新型的指数图,该图与cartan subegra的正交补体产生的亚黎地区几何形状相关,其方式与组指数图与riemannian几何形状相关的方式相似。
In this paper we introduce a new type of exponential map in semi-simple compact Lie groups, which is related to the sub-Riemannian geometry generated by the orthogonal complement of a Cartan subalgebra in a similar way to how the group exponential map is related to the Riemannian geometry.