Symmetric submanifolds associated with irreducible symmetric R-spaces
Symmetric submanifolds associated with irreducible symmetric R-spaces
复制标题
DOI：
10.1007/s00208-005-0646-2
复制
发表时间：
2005-04
影响因子：
1.4
通讯作者：
J. Berndt;J. Eschenburg;H. Naitoh;K. Tsukada
中科院分区：
文献类型：
--
作者：
J. Berndt;J. Eschenburg;H. Naitoh;K. Tsukada
构造了非紧型黎曼对称空间中对称子流形的例子，得到了秩大于1的非紧型不可约黎曼对称空间中对称子流形的分类.这就完全解决了黎曼对称空间中对称子流形的分类问题。
We construct examples of symmetric submanifolds in Riemannian symmetric spaces of noncompact type and obtain the classification of symmetric submanifolds in irreducible Riemannian symmetric spaces of noncompact type and rank greater than one. This finishes the classification problem of symmetric submanifolds in Riemannian symmetric spaces completely.