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 counterexample to $C^k$-regularity for the Newlander-Nirenberg theorem
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by Liding Yao
Proc. Amer. Math. Soc. 149 (2021), 1111-1115
DOI: https://doi.org/10.1090/proc/15270
Published electronically: January 25, 2021

Abstract:

We give an example of a $C^k$-integrable almost complex structure that does not admit a corresponding $C^{k+1}$-complex coordinate system.
References
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Bibliographic Information
  • Liding Yao
  • Affiliation: Department of Mathematics, University of Wisconsin-Madison, 480 Lincoln Drive, Madison, Wisconsin 53706
  • ORCID: 0000-0002-8747-7359
  • Email: lyao26@wisc.edu
  • Received by editor(s): March 25, 2020
  • Received by editor(s) in revised form: June 15, 2020, and June 29, 2020
  • Published electronically: January 25, 2021
  • Communicated by: Ariel Barton
  • © Copyright 2021 Copyright by Liding Yao.
  • Journal: Proc. Amer. Math. Soc. 149 (2021), 1111-1115
  • MSC (2010): Primary 35J46; Secondary 32Q60, 35F05
  • DOI: https://doi.org/10.1090/proc/15270
  • MathSciNet review: 4211866