vix.ing 路 top 路 new 路 best 路 stats 路 spec

A counterexample to 饾惗饾憳-regularity for the Newlander-Nirenberg theorem

2020/02/29 by Liding Yao
Engineering 路 Mathematics 路 #Advanced Mathematical Physics Problems #Algorithm #Annotation #Artificial intelligence #Computer science #Counterexample #Discrete mathematics #Geometric Analysis and Curvature Flows #Mathematics #Stability and Controllability of Differential Equations #math.CA #math.CV

paper 路 pdf 路 doi:10.1090/proc/15270

5 pages, with structure of proof changed, and have more details. To be appeared in Proceedings of the AMS

openalex created_date 2020/03/06 路 arxiv created 2020/07/31 路 openalex publication_date 2020/08/19 路 arxiv updated 2021/05/25 路 openalex updated_date 2026/08/05

Abstract

We give an example of a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript k"> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mi>k</mml:mi> </mml:msup> <mml:annotation encoding="application/x-tex">Ck</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -integrable almost complex structure that does not admit a corresponding <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C Superscript k plus 1"> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi>k</mml:mi> <mml:mo>+</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> <mml:annotation encoding="application/x-tex">Ck+1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -complex coordinate system.

Citations