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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on compact $\kappa$-solutions of Kähler-Ricci flow
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by Yuxing Deng and Xiaohua Zhu PDF
Proc. Amer. Math. Soc. 148 (2020), 3073-3078 Request permission

Abstract:

In this paper, we give a complete classification of $\kappa$-solutions of Kähler-Ricci flow on compact complex manifolds. Namely, they must be quotients of products of irreducible compact Hermitian symmetric manifolds.
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Additional Information
  • Yuxing Deng
  • Affiliation: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China
  • MR Author ID: 1093897
  • Email: 6120180026@bit.edu.cn
  • Xiaohua Zhu
  • Affiliation: School of Mathematical Sciences and BICMR, Peking University, Beijing, 100871, People’s Republic of China
  • Email: xhzhu@math.pku.edu.cn
  • Received by editor(s): December 3, 2018
  • Received by editor(s) in revised form: November 4, 2019
  • Published electronically: February 18, 2020
  • Additional Notes: The first author was partially supported by the NSFC Grants 11971056 and 11701030.
    The second author was partially supported by the NSFC Grants 11331001 and 11771019
    The first author is the corresponding author
  • Communicated by: Jiaping Wang
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 3073-3078
  • MSC (2010): Primary 53C25, 32Q20; Secondary 53C55, 58J05
  • DOI: https://doi.org/10.1090/proc/14931
  • MathSciNet review: 4099793