Newlander-Nirenberg theorem
Statement
The induced almost complex structure on any complex manifold is integrable. Equivalently, the Nijenhuis tensor arisign from the almost complex structure induced on a complex manifold, vanishes identically.
The induced almost complex structure on any complex manifold is integrable. Equivalently, the Nijenhuis tensor arisign from the almost complex structure induced on a complex manifold, vanishes identically.