A Counterexample to $C^k$-regularity for the Newlander-Nirenberg Theorem
Complex Variables
2021-05-25 v2 Classical Analysis and ODEs
Abstract
We give an example of -integrable almost complex structure that does not admit a corresponding -complex coordinate system.
Cite
@article{arxiv.2002.07973,
title = {A Counterexample to $C^k$-regularity for the Newlander-Nirenberg Theorem},
author = {Liding Yao},
journal= {arXiv preprint arXiv:2002.07973},
year = {2021}
}
Comments
5 pages, with structure of proof changed, and have more details. To be appeared in Proceedings of the AMS