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[3,4]

机构：[1]East China Univ Sci & Technol, Sch Sci, Meilong Rd 130, Shanghai, Peoples R China;[2]Jinan Univ, Dept Math, Guangzhou, Guangdong, Peoples R China;[3]Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China;[4]Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

年份：2020

卷号：24

期号：5

起止页码：783

外文期刊名：ASIAN JOURNAL OF MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000628753300003)】；

基金：We are grateful to J. J. Zhang for many useful comments and discussions. The first author is sponsored by Natural Science Foundation of Shanghai (No. 19ZR1411700). The second author is supported by National Natural Science Foundation of China (No. 11771455). The work of Leung described in this paper was substantially supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. 14301117) and a direct grant from The Chinese University of Hong Kong (Project No. 4053161).

语种：英文

外文关键词：symmetric space; Grassmannian; embedding

摘要：Every compact symmetric space M admits a dual noncompact symmetric space. (sic) 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.