文献类型：期刊文献

英文题名：Embeddings from noncompact symmetric spaces to their compact duals

作者：Chen, Yunxia[1]; Huang, Yongdong[2]; Leung, Naichung Conan[3]

机构：[1] School of Science, East China University of Science and Technology, Meilong Road 130, Shanghai, China; [2] Department of Mathematics, Jinan University, Guangzhou, Guangdong, China; [3] Institute of Mathematical Sciences and Department of Mathematics, Chinese University of Hong Kong, Shatin, N.T., Hong Kong

年份：2018

外文期刊名：arXiv

收录：EI(收录号：20200067290)

语种：英文

摘要：Every compact symmetric space M admits a dual noncompact symmetric space M. When M is a generalized Grassmannian, we can view M as a open submanifold of it consisting of space-like subspaces [4]. Motivated from this, we study the embeddings from noncompact symmetric spaces to their compact duals, including space-like embedding for generalized Grassmannians, Borel embedding for Hermitian symmetric spaces and the generalized embedding for symmetric R-spaces. We will compare these embeddings and describe their images using cut loci. Copyright ? 2018, The Authors. All rights reserved.