论文标题
在特殊的对称空间中完全测量
Totally geodesic submanifolds in exceptional symmetric spaces
论文作者
论文摘要
我们将最大的完全测量的亚策略分类为特殊的对称空间，直到等轴测图。此外，我们引入了某些半imple对称空间的某些完全测量的嵌入，我们称之为dynkin索引。我们证明了类似于索引猜想的结果：对于每个非紧凑类型的不可还能的对称空间，存在一个完全测量的亚策略，它具有最小的编成编成，并且其非固定不可修复因子的dynkin指数等于一个。
We classify maximal totally geodesic submanifolds in exceptional symmetric spaces up to isometry. Moreover, we introduce an invariant for certain totally geodesic embeddings of semisimple symmetric spaces, which we call the Dynkin index. We prove a result analogous to the index conjecture: for every irreducible symmetric space of non-compact type, there exists a totally geodesic submanifold which is of minimal codimension and whose non-flat irreducible factors have Dynkin index equal to one.
