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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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