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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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Constant rank theorems for Li-Yau-Hamilton type matrices of heat equations
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by Shujun Shi and Wei Zhang
Proc. Amer. Math. Soc. 150 (2022), 3853-3861
DOI: https://doi.org/10.1090/proc/16028
Published electronically: June 3, 2022

Abstract:

In this paper, we prove constant rank theorems for Li-Yau-Hamilton type matrices of heat equations on Riemannian manifolds as well as on Kähler manifolds under some curvature conditions.
References
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Bibliographic Information
  • Shujun Shi
  • Affiliation: School of Mathematical Sciences, Harbin Normal University, Harbin 150025, Heilongjiang Province, People’s Republic of China
  • ORCID: 0000-0002-3880-7884
  • Email: shjshi@hrbnu.edu.cn
  • Wei Zhang
  • Affiliation: School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, Gansu Province, People’s Republic of China
  • Email: zhangw@lzu.edu.cn
  • Received by editor(s): August 21, 2021
  • Published electronically: June 3, 2022
  • Additional Notes: The first author was supported by the National Natural Science Foundation of China under Grants 11971137 and 11771396.
    The second author was supported by the National Natural Science Foundation of China under Grants 11871255 and 11401278, and by the Fundamental Research Funds for the Central Universities under grant lzujbky-2019-78.
  • Communicated by: Jiaping Wang
  • © Copyright 2022 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 150 (2022), 3853-3861
  • MSC (2000): Primary 35B50; Secondary 35K05
  • DOI: https://doi.org/10.1090/proc/16028
  • MathSciNet review: 4446235