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Comments on the Newlander-Nirenberg theorem

By Andrei Smilga
The Newlander-Nirenberg theorem says that a necessary and sufficient condition for the complex coordinates associated with a given almost complex structure tensor \(I_M{}^N\) to exist is the vanishing of the Nijenhuis tensor \({\cal N}_{MN}{}^K\). In the first part of the paper, we give a simple explicit proof of this fact.... Show more
March 4, 2020
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Comments on the Newlander-Nirenberg theorem
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