A counterexample to $C^k$-regularity for the Newlander-Nirenberg theorem
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- by Liding Yao PDF
- Proc. Amer. Math. Soc. 149 (2021), 1111-1115
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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Additional 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