A counterexample to 𝐶^{𝑘}-regularity for the Newlander-Nirenberg theorem

DOI10.1090/proc/15270zbMath1459.35127arXiv2002.07973OpenAlexW3008947460WikidataQ124810605 ScholiaQ124810605MaRDI QIDQ5150184

Liding Yao

Publication date: 10 February 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.07973

zbMATH Keywords

\(C^{k,1}\)-complex coordinate chart\(C^k\)-integrable almost complex structuresharp Newlander-Nirenberg theorem

Mathematics Subject Classification ID

Linear first-order PDEs (35F05) Almost complex manifolds (32Q60) First-order elliptic systems (35J46)

Cites Work

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• Complex analytic coordinates in almost complex manifolds
• Partial differential equations. III: Nonlinear equations.
• Elliptic partial differential equations of second order
• Sharp regularity for the integrability of elliptic structures