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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Huber’s theorem for manifolds with $L^\frac {n}{2}$ integrable Ricci curvatures
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by Bo Chen and Yuxiang Li PDF
Trans. Amer. Math. Soc. 375 (2022), 5907-5922 Request permission

Abstract:

In this paper, we generalize Huber’s finite points conformal compactification theorem to higher dimensional manifolds, which are conformally compact with $L^\frac {n}{2}$ integrable Ricci curvatures.
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Additional Information
  • Bo Chen
  • Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
  • Email: chenbo@mail.tsinghua.edu.cn
  • Yuxiang Li
  • Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
  • MR Author ID: 680929
  • ORCID: 0000-0002-6725-4000
  • Email: liyuxiang@mail.tsinghua.edu.cn
  • Received by editor(s): November 24, 2021
  • Received by editor(s) in revised form: February 16, 2022
  • Published electronically: May 23, 2022
  • Additional Notes: The first author was partially supported by China Postdoctoral Science Foundation, Grant No. 2021M701930. The second author was partially supported by NSFC 11971451 and NSFC 12141103

  • Dedicated: Dedicated to Prof. Ernst Kuwert for his sixtieth birthday
  • © Copyright 2022 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 375 (2022), 5907-5922
  • MSC (2020): Primary 53C18, 53C21
  • DOI: https://doi.org/10.1090/tran/8703
  • MathSciNet review: 4469241