A Grassmannian description of embedding theorems for Riemannian symmetric spaces
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- by Yunxia Chen
- Proc. Amer. Math. Soc. 148 (2020), 5343-5354
- DOI: https://doi.org/10.1090/proc/15190
- Published electronically: September 24, 2020
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Abstract:
For Hermitian symmetric spaces, we have the Borel embedding theorem the Harish-Chandra embedding theorem, and the Hermann convexity theorem. In this paper, we will generalize these theorems to all classical symmetric spaces using the Grassmannian language.References
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Bibliographic Information
- Yunxia Chen
- Affiliation: School of Science, East China University of Science and Technology, Meilong Road 130, Shanghai, People’s Republic of China
- Email: yxchen76@ecust.edu.cn
- Received by editor(s): April 29, 2020
- Received by editor(s) in revised form: May 14, 2020
- Published electronically: September 24, 2020
- Additional Notes: The author was sponsored by Natural Science Foundation of Shanghai (No.19ZR1411700).
- Communicated by: Jia-Ping Wang
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 5343-5354
- MSC (2000): Primary 53C35
- DOI: https://doi.org/10.1090/proc/15190
- MathSciNet review: 4163846